11 cm. A rectangular container is 12 cm long, 11 cm wide and 10 cm high. The container is filled with water to a depth of 8 cm.
|
|
- Solomon Randall
- 5 years ago
- Views:
Transcription
1 Diagram NOT accurately drawn 10 cm 11 cm 12 cm 3.5 cm A rectangular container is 12 cm long, 11 cm wide and 10 cm high. The container is filled with water to a depth of 8 cm. A metal sphere of radius 3.5 cm is placed in the water. It sinks to the bottom. Calculate the rise in the water level. Give your answer correct to 3 significant figures. Bemrose Community School 1
2 ...cm (Total 4 marks) 2. B A C Diagram NOT accurately drawn 10.4 cm 10.4 cm 120 O The diagram shows a sector OABC of a circle with centre O. OA = OC = 10.4 cm. Angle AOC = 120. Calculate the area of the shaded segment ABC. Give your answer correct to 3 significant figures..cm 2 (Total 4 marks) Bemrose Community School 2
3 3. 40 O Diagram NOT accurately drawn 9 cm The diagram shows a sector of a circle, centre O. The radius of the circle is 9 cm. The angle at the centre of the circle is 40. Find the perimeter of the sector. Leave your answer in terms of π....cm (Total 4 marks) Bemrose Community School 3
4 4. The diagram below shows a 6-sided shape. All the corners are right angles. All measurements are given in centimetres. Diagram NOT accurately drawn The area of the shape is 25 cm 2. Show that 6x x 39 = 0 (Total 3 marks) Bemrose Community School 4
5 5. Diagram NOT accurately drawn The diagram represents a large cone of height 6 cm and base diameter 18 cm. The large cone is made by placing a small cone A of height 2 cm and base diameter 6 cm on top of a frustum B. Calculate the volume of the frustum B. Give your answer in terms of π.... (Total 4 marks) Bemrose Community School 5
6 6. The radius of the base of a cone is x cm and its height is h cm. The radius of a sphere is 2x cm. The volume of the cone and the volume of the sphere are equal. Express h in terms of x. Give your answer in its simplest form. h =.. (Total 3 marks) Bemrose Community School 6
7 7. Diagram NOT accurately drawn B A C 10.4 cm 120 O 10.4 cm The diagram shows a sector OABC of a circle with centre O. OA = OC = 10.4 cm. Angle AOC = 120. (a) Calculate the length of the arc ABC of the sector. Give your answer correct to 3 significant figures....cm (3) Bemrose Community School 7
8 (b) Calculate the area of the shaded segment ABC. Give your answer correct to 3 significant figures....cm 2 (4) (Total 7 marks) 8. The diagram shows a sector of a circle with a radius of x cm and centre O. PQ is an arc of the circle. Angle POQ = 120. O 120 x cm P Diagram NOT accurately drawn Q (a) Write down an expression in terms of and x for (i) the area of this sector,... (ii) the arc length of this sector.... (2) Bemrose Community School 8
9 The sector is the net of the curved surface of this cone. Arc PQ forms the circumference of the circle that makes the base of the cone. h cm x cm The curved surface area of the cone is A cm 2. The volume of the cone is V cm 3. The height of the cone is h cm. Given that V = 3A, (b) find the value of h.... (3) (Total 5 marks) Bemrose Community School 9
10 y y = a sin x Diagram NOT accurately drawn y = cos x + b x The diagram shows part of two graphs. The equation of one graph is The equation of the other graph is y = a sin x y = cos x + b (a) Use the graphs to find the value of a and the value of b. a =... b =... (2) (b) Use the graphs to find the values of x in the range 0 x 720 when a sin x = cos x + b. x =... (2) Bemrose Community School 10
11 (c) Use the graphs to find the value of a sin x (cos x + b) when x = (2) (Total 6 marks) Bemrose Community School 11
12 10. F E Diagram NOT accurately drawn D C 60 cm A cm B The diagram represents a prism. AEFD is a rectangle. ABCD is a square. EB and FC are perpendicular to plane ABCD. AB = 60 cm. AD = 60 cm. Angle ABE = 90. Angle BAE = 30. Calculate the size of the angle that the line DE makes with the plane ABCD. Give your answer correct to 1 decimal place.... Bemrose Community School 12
13 (Total 4 marks) Bemrose Community School 13
14 11. Diagram NOT accurately drawn D A B 25 m C Bemrose Community School 14
15 The diagram shows a vertical tower DC on horizontal ground ABC. ABC is a straight line. The angle of elevation of D from A is 28. The angle of elevation of D from B is 54. AB = 25 m. Calculate the height of the tower. Give your answer correct to 3 significant figures.... m (Total 5 marks) Bemrose Community School 15
16 12. x + 2 Diagram NOT accurately drawn x 5 x + 6 The diagram shows a trapezium. The lengths of three of the sides of the trapezium are x 5, x + 2 and x + 6. All measurements are given in centimetres. The area of the trapezium is 36 cm 2. (a) Show that x 2 x 56 = 0 (4) Bemrose Community School 16
17 (b) (i) Solve the equation x 2 x 56 = 0 (ii) Hence find the length of the shortest side of the trapezium. cm (4) (Total 8 marks) Bemrose Community School 17
18 13. y 100 y = a bcos( kt) O t The graph of y = a bcos(kt), for values of t between 0 and 120, is drawn on the grid. Use the graph to find an estimate for the value of (i) a, (ii) b, (iii) k (Total 3 marks) Bemrose Community School 18
19 14. H E 3 cm A 5 cm F B D 7 cm G C Diagram NOT accurately drawn The diagram represents a cuboid ABCDEFGH. AB = 5 cm. BC = 7 cm. AE = 3 cm. (a) Calculate the length of AG. Give your answer correct to 3 significant figures.... cm (2) Bemrose Community School 19
20 (b) Calculate the size of the angle between AG and the face ABCD. Give your answer correct to 1 decimal place.... (2) (Total 4 marks) Bemrose Community School 20
21 15. T Diagram NOT accurately drawn x x + 5 O x + 8 A AT is a tangent at T to a circle, centre O. OT = x cm, AT = (x + 5) cm, OA = (x + 8) cm. (a) Show that x 2 6x 39 = 0 (4) (b) Solve the equation x 2 6x 39 = 0 to find the radius of the circle. Give your answer correct to 3 significant figures.... cm (3) Bemrose Community School 21
22 (Total 7 marks) Bemrose Community School 22
23 16. Diagram NOT accurately drawn 3 cm 3 cm The radius of a sphere is 3 cm. The radius of the base of a cone is also 3 cm. The volume of the sphere is 3 times the volume of the cone. Work out the curved surface area of the cone. Give your answer as a multiple of. Bemrose Community School 23
24 cm 2 (Total 7 marks) Bemrose Community School 24
25 17. 4 cm 6 cm Diagram NOT accurately drawn A B Cylinder A and cylinder B are mathematically similar. The length of cylinder A is 4 cm and the length of cylinder B is 6 cm. The volume of cylinder A is 80 cm 3. Calculate the volume of cylinder B. cm 3 (Total 3 marks) Bemrose Community School 25
26 18. L m x Elliot did an experiment to find the value of g m/s 2, the acceleration due to gravity. He measured the time, T seconds, that a block took to slide L m down a smooth slope of angle x. He then used the formula g = T 2 2L sin x to calculate an estimate for g. T = 1.3 correct to 1 decimal place. L = 4.50 correct to 2 decimal places. x = 30 correct to the nearest integer. (a) Calculate the lower bound and the upper bound for the value of g. Give your answers correct to 3 decimal places. Lower bound... Upper bound... (4) Bemrose Community School 26
27 (b) Use your answers to part (a) to write down the value of g to a suitable degree of accuracy. Explain your reasoning (1) (Total 5 marks) 19. This is a sketch of the curve with equation y =f(x). It passes through the origin O. y y = f( x) O x A (2, 4) The only vertex of the curve is at A (2, 4) (a) Write down the coordinates of the vertex of the curve with equation (i) y = f(x 3), (...,...) (ii) y = f(x) 5, (...,...) (iii) y = f(x), (...,...) (iv) y = f(2x). (...,...) (4) Bemrose Community School 27
28 The curve with equation y = x 2 has been translated to give the curve y = f(x). (b) Find f(x) in terms of x. f(x) =... (4) (Total 8 marks) 20. x x A cuboid has a square base of side x cm. The height of the cuboid is 1 cm more than the length x cm. The volume of the cuboid is 230 cm 3. (a) Show that x 3 + x 2 = 230 (2) Bemrose Community School 28
29 The equation x 3 + x 2 = 230 has a solution between x = 5 and x = 6. (b) Use a trial and improvement method to find this solution. Give your answer correct to 1 decimal place. You must show all your working. x =... (4) (Total 6 marks) 21. A straight line has equation y = 2 1 x +1 The point P lies on the straight line. P has a y-coordinate of 5. (a) Find the x-coordinate of P.... (2) Bemrose Community School 29
30 (b) Write down the equation of a different straight line that is parallel to y = 2 1 x (1) (c) Rearrange y = 2 1 x + 1 to make x the subject.... (2) (Total 5 marks) 22. A X Diagram NOT accurately drawn 8 cm C cm B In triangle ABC, AC = 8 cm, CB = 15 cm, Angle ACB = 70. Bemrose Community School 30
31 (a) Calculate the area of triangle ABC. Give your answer correct to 3 significant figures.... cm 2 (2) X is the point on AB such that angle CXB = 90. (b) Calculate the length of CX. Give your answer correct to 3 significant figures.... cm (4) (Total 6 marks) Bemrose Community School 31
Paper Reference (complete below) Mathematics A Tuesday 10 June 2003 Morning Time: 2 hours
Centre No. Candidate No. Paper Reference (complete below) 5 5 0 6 0 6 Surname Signature Initial(s) Examiner s use only Paper Reference(s) 5506/06 Edexcel GCSE Mathematics A 1387 Paper 6 (Calculator) Higher
More informationRevision Pack. Edexcel GCSE Maths (1 9) Non-calculator Questions Shapes
Edexcel GCSE Maths (1 9) Revision Pack Non-calculator Questions Shapes Edited by: K V Kumaran kvkumaran@gmail.com 07961319548 www.kumarmaths.weebly.com kumarmaths.weebly.com 1 Q1. All the measurements
More informationP1 REVISION EXERCISE: 1
P1 REVISION EXERCISE: 1 1. Solve the simultaneous equations: x + y = x +y = 11. For what values of p does the equation px +4x +(p 3) = 0 have equal roots? 3. Solve the equation 3 x 1 =7. Give your answer
More informationGCSE Mathematics. Higher Tier. Paper 4G (Calculator) Time: 1 hour and 45 minutes. For Edexcel. Name
For Edexcel Name GCSE Mathematics Paper 4G (Calculator) Higher Tier Time: 1 hour and 45 minutes Materials required Ruler, protractor, compasses, pen, pencil, eraser. Tracing paper may be used. Instructions
More information3-D Shapes and volume
3-D Shapes and Volume Question Paper 1 Level IGCSE Subject Maths Exam Board Edexcel Topic Shape, Space and Measures Sub Topic 3-D Shapes and volume Booklet Question Paper 1 Time Allowed: 57 minutes Score:
More informationGeneral Certificate of Secondary Education Higher Tier June 2014
Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Pages Mark Mathematics General Certificate of Secondary Education Higher Tier June 2014 43603H
More informationCBSE CLASS X MATHS , 1 2p
CBSE CLASS X MATHS -2013 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 34 questions divided into four sections A,B,C and D. (iii) Sections A contains 8 questions
More informationTime: 3 hour Total Marks: 90
Time: 3 hour Total Marks: 90 General Instructions: 1. All questions are compulsory. 2. The question paper consists of 34 questions divided into four sections A, B, C, and D. 3. Section A contains of 8
More informationGeneral Certificate of Secondary Education Higher Tier November Time allowed 1 hour 30 minutes
Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Pages Mark Mathematics General Certificate of Secondary Education Higher Tier November 2014
More informationS8.6 Volume. Section 1. Surface area of cuboids: Q1. Work out the surface area of each cuboid shown below:
Things to Learn (Key words, Notation & Formulae) Complete from your notes Radius- Diameter- Surface Area- Volume- Capacity- Prism- Cross-section- Surface area of a prism- Surface area of a cylinder- Volume
More informationMATHEMATICS. Unit 1. Part 2 of 2. Expressions and Formulae
MATHEMATICS Unit 1 Part 2 of 2 Expressions and Formulae Gradient Exercise 1 1) Work out the gradient of all the lines in the diagram. Write your answers in 1 y the form m AB T B 10 2 G H 8 6 4 F A C D
More informationSTRAND E: Measurement. UNIT 13 Areas Student Text Contents. Section Squares, Rectangles and Triangles Area and Circumference of Circles
UNIT 13 Areas Student Text Contents STRAND E: Measurement Unit 13 Areas Student Text Contents Section 13.1 Squares, Rectangles and Triangles 13. Area and Circumference of Circles 13.3 Sector Areas and
More informationChapter 1: Symmetry and Surface Area
Chapter 1: Symmetry and Surface Area Name: Section 1.1: Line Symmetry Line of symmetry(or reflection): divides a shape or design into two parts. Can be found using: A mirra Folding Counting on a grid Section
More information"Full Coverage": Volumes & Surface Area
"Full Coverage": Volumes & Surface Area This worksheet is designed to cover one question of each type seen in past papers, for each GCSE Higher Tier topic. This worksheet was automatically generated by
More informationCBSE Board Paper 2011 (Set-3) Class X
L.K.Gupta (Mathematic Classes) Ph: 981551, 1-4611 CBSE Board Paper 11 (Set-3) Class X General Instructions 1. All questions are compulsory.. The question paper consists of 34 questions divided into four
More informationSHAPE, SPACE and MEASUREMENT
SHAPE, SPACE and MEASUREMENT Types of Angles Acute angles are angles of less than ninety degrees. For example: The angles below are acute angles. Obtuse angles are angles greater than 90 o and less than
More informationBC is parallel to DE. AB is twice as long as BD. AD = 36 cm and AC = 27 cm. (a) Work out the length of AB. AB =... cm (2 marks)
shape and space 2 higher Question 1 BC is parallel to DE. AB is twice as long as BD. AD = 36 cm and AC = 27 cm. (a) Work out the length of AB. (b) Work out the length of AE. AB =... cm AE =... cm Question
More informationCARIBBEAN CORRESPONDENCE SCHOOL
Final Examination CARIBBEAN CORRESPONDENCE SCHOOL Module Name: Groups: Duration: MATHEMATICS Online 3 Hours INSTRUCTIONS TO CANDIDATES 1. This Paper consists of THREE sections. 2. There is one question
More information6. If QRSTU is a regular pentagon, what is the measure of T? 1. If STUV is a parallelogram, what are the coordinates of point U?
1. If UV is a parallelogram, what are the coordinates of point U?. If RU is a regular pentagon, what is the measure of? (0, y) U(?,?) (, 0) V( + z, 0) 7. hree siblings are to share an inheritance of $1,0
More informationMathematics. Geometry Revision Notes for Higher Tier
Mathematics Geometry Revision Notes for Higher Tier Thomas Whitham Sixth Form S J Cooper Pythagoras Theorem Right-angled trigonometry Trigonometry for the general triangle rea & Perimeter Volume of Prisms,
More informationMR. JIMENEZ FINAL EXAM REVIEW GEOMETRY 2011
PAGE 1 1. The area of a circle is 25.5 in. 2. Find the circumference of the circle. Round your answers to the nearest tenth. 2. The circumference of a circle is 13.1 in. Find the area of the circle. Round
More informationAlternate Angles. Clip 67. Mathswatch
Clip 67 Alternate Angles ) Line PQ is parallel to line RS If angle PQR is equal to 6 a) What is the size of angle QRS? b) Give a reason for ou answer. P 6 Q R S ) Line DCE is parallel to line AB a) Find
More informationGCSE LINKED PAIR PILOT 4364/02 METHODS IN MATHEMATICS UNIT 2: Methods (Calculator) HIGHER TIER
Surname Other Names Centre Number 0 Candidate Number GCSE LINKED PAIR PILOT 4364/02 METHODS IN MATHEMATICS UNIT 2: Methods (Calculator) HIGHER TIER A.M. MONDAY, 17 June 2013 2 hours ADDITIONAL MATERIALS
More informationShape, space and measures
Shape, space and measures Non-Calculator Exam Questions 1. Here is the plan and side elevation of a prism. The side elevation shows the cross section of the prism. On the grid below, draw the front elevation
More informationIMMACULATE CONCEPTION BOYS HIGH SCHOOL-MUKUYU FORM THREE MATHEMATICS EXAM 1 TERM
IMMACULATE CONCEPTION BOYS HIGH SCHOOL-MUKUYU FORM THREE MATHEMATICS EXAM 1 TERM 1 2018 NAME ADM NO..CLASS. SECTION I (50 MARKS) Answer all questions 1. Simplify without using a calculator 3 1 3 22 3 15
More informationProperties of a Circle Diagram Source:
Properties of a Circle Diagram Source: http://www.ricksmath.com/circles.html Definitions: Circumference (c): The perimeter of a circle is called its circumference Diameter (d): Any straight line drawn
More information4. The following diagram shows the triangle AOP, where OP = 2 cm, AP = 4 cm and AO = 3 cm.
Circular Functions and Trig - Practice Problems (to 07) 1. In the triangle PQR, PR = 5 cm, QR = 4 cm and PQ = 6 cm. Calculate (a) the size of ; (b) the area of triangle PQR. 2. The following diagram shows
More informationUnit 3 Higher topic list
This is a comprehensive list of the topics to be studied for the Edexcel unit 3 modular exam. Beside the topics listed are the relevant tasks on www.mymaths.co.uk that students can use to practice. Logon
More informationGCSE Mathematics Practice Tests: Set 6
GCSE Mathematics Practice Tests: Set 6 Paper 2H (Calculator) Time: 1 hour 30 minutes You should have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser,
More informationSarvaakarshak classes
Sarvaakarshak classes Revision_Test_2 The best way to learn SECTION-A Question numbers 1 to 8 carry 2 marks each. 1. If the equation kx 2-2kx + 6 = 0 has equal roots, then find the value of k. 2. Which
More informationFURTHER MATHS. WELCOME TO A Level FURTHER MATHEMATICS AT CARDINAL NEWMAN CATHOLIC SCHOOL
FURTHER MATHS WELCOME TO A Level FURTHER MATHEMATICS AT CARDINAL NEWMAN CATHOLIC SCHOOL This two-year Edexcel Pearson syllabus is intended for high ability candidates who have achieved, or are likely to
More information"Full Coverage": Similar Shapes (including area/volume)
"Full Coverage": Similar Shapes (including area/volume) This worksheet is designed to cover one question of each type seen in past papers, for each GCSE Higher Tier topic. This worksheet was automatically
More information(a) Calculate the size of angle AOB. 1 KU. The length of arc AB is 120 centimetres. Calculate the length of the clock hand.
Problem Solving Questions 3 1. Contestants in a quiz have 5 seconds to answer a question. This time is indicated on the clock. The tip of the clock hand moves through the arc AB as shown. (a) Calculate
More informationMaths Revision Booklet. Calculator Exam Practice
Solutions Included Maths Revision Booklet Calculator Exam Practice www.national5maths.co.uk for all you need to pass Maths in one place N5 Revision Calculator Set 1 1. It is estimated that an iceberg weighs
More informationName: Teacher: Form: LEARNER JOURNAL. Set: Mathematics. Module 7 END OF YEAR TARGET: GCSE TARGET:
Name: Teacher: Form: Set: LEARNER JOURNAL Mathematics Module 7 END OF YEAR TARGET: GCSE TARGET: MODULE 7 Unit 7A - Graphs Use areas of rectangles, triangles and trapeziums to estimate the area under a
More informationA 10 cm. The diagram represents a large cone of height 30 cm and base diameter 15 cm.
0 cm 5 cm 5 cm 5 cm 0 cm B 0 cm B 0 cm 5 cm 5 cm The diagram represents a large cone of height 30 cm and base diameter 5 cm. The large cone is made by placing a small cone of height 0 cm and base diameter
More information1. Use the Trapezium Rule with five ordinates to find an approximate value for the integral
1. Use the Trapezium Rule with five ordinates to find an approximate value for the integral Show your working and give your answer correct to three decimal places. 2 2.5 3 3.5 4 When When When When When
More informationSection A Area Grade E C
Name: Teacher Assessment Section A Area Grade E C 1. A rectangle has length 7.1 cm and width 3.6 cm. 7.1 cm 3.6 cm (a) Calculate the area of the rectangle. Give your answer to 1 decimal place. Answer...
More informationQ-1 The first three terms of an AP respectively are 3y 1, 3y +5 and 5y +1. Then y equals
CBSE CLASS X Math Paper-2014 Q-1 The first three terms of an AP respectively are 3y 1, 3y +5 and 5y +1. Then y equals (A) -3 (B) 4 (C) 5 (D) 2 Q-2 In Fig. 1, QR is a common tangent to the given circles,
More informationMensuration.
Mensuration www.q8maths.com 12 6 (a) 0.8 cm 1.5 cm 1.1 cm 0.8 cm The diagram shows two sweets. The cuboid has length 1.5 cm, width 1.1 cm and height 0.8 cm. The cylinder has height 0.8 cm and the same
More informationPLC Papers. Created For:
PLC Papers Created For: 3D shapes 2 Grade 4 Objective: Identify the properties of 3-D shapes Question 1. The diagram shows four 3-D solid shapes. (a) What is the name of shape B.. (1) (b) Write down the
More informationMaths Year 11 Mock Revision list
Maths Year 11 Mock Revision list F = Foundation Tier = Foundation and igher Tier = igher Tier Number Tier Topic know and use the word integer and the equality and inequality symbols use fractions, decimals
More informationPages do a,c,e only (for questions that have parts)
use their knowledge of rectangles, parallelograms and triangles to deduce formulae for the area of a parallelogram, and a triangle, from the formula for the area of a rectangle solve problems involving
More informationFurther Volume and Surface Area
1 Further Volume and Surface Area Objectives * To find the volume and surface area of spheres, cones, pyramids and cylinders. * To solve problems involving volume and surface area of spheres, cones, pyramids
More informationA. 180 B. 108 C. 360 D. 540
Part I - Multiple Choice - Circle your answer: REVIEW FOR FINAL EXAM - GEOMETRY 2 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C.
More informationG r a d e 1 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e - C a l c u l u s M a t h e m a t i c s ( 2 0 S )
G r a d e 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e - C a l c u l u s M a t h e m a t i c s ( 0 S ) Midterm Practice Exam Answer Key G r a d e 0 I n t r o d u c t i o n t o A p p l i e d
More informationMATHEMATICS (SYLLABUS D) 4024/02
CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level MATHEMATICS (SYLLABUS D) 4024/02 Paper 2 Additional Materials: Answer Booklet/Paper Electronic calculator Geometrical
More informationPlot four points A, B, C and D on the grid to make a rectangle ABCD of length 6 cm and width 4 cm. (2)
Q1. (a) Here is a centimetre grid. Plot four points A, B, C and D on the grid to make a rectangle ABCD of length 6 cm and width 4 cm. (2) (b) Tick whether each statement is always true, sometimes true
More informationInt 2 Checklist (Unit 1) Int 2 Checklist (Unit 1) Percentages
Percentages Know that appreciation means an increase in value and depreciation means a decrease in value Calculate simple interest over 1 year Calculate simple interest over a certain number of months
More information185/05 MATHEMATICS PILOT EXAMINATION HIGHER TIER PAPER 2. A.M. MONDAY, 12 June (2 Hours)
Candidate Name Centre Number Candidate Number WELSH JOINT EDUCATION COMMITTEE General Certificate of Secondary Education CYD-BWYLLGOR ADDYSG CYMRU Tystysgrif Gyffredinol Addysg Uwchradd 185/05 MATHEMATICS
More informationMathematics. Time Allowed: 3 hours Maximum : The question paper consists of 31 questions divided into four sections A, B, C and D.
Sample Paper (CBSE) Series SC/SP Code No. SP-16 Mathematics Time Allowed: 3 hours Maximum : 90 General Instructions: 1. All questions are compulsory. 2. The question paper consists of 31 questions divided
More information17-18 ACP Geometry Final Exam REVIEW
17-18 ACP Geometry Final Exam REVIEW Chapter 7 Similarity 1. Given ABC DEF. Find the value of x. Justify your answer. Are the following triangles similar? If so, justify your answer, and write a similarity
More informationStaged problem solving. Blue card sort. Areas of Circles: Staged Problem solving. Card sort, structured stages, independence
Areas of Circles: Staged Problem solving Card sort, structured stages, independence 1. The diagram shows a semicircle drawn inside a rectangle. Blue card sort The semicircle has a diameter of 8 cm. The
More informationReview of 7 th Grade Geometry
Review of 7 th Grade Geometry In the 7 th Grade Geometry we have covered: 1. Definition of geometry. Definition of a polygon. Definition of a regular polygon. Definition of a quadrilateral. Types of quadrilaterals
More information4038 ADDITIONAL MATHEMATICS TOPIC 2: GEOMETRY AND TRIGONOMETRY SUB-TOPIC 2.2 COORDINATE GEOMETRY IN TWO DIMENSIONS
4038 ADDITIONAL MATHEMATICS TOPIC : GEOMETRY AND TRIGONOMETRY SUB-TOPIC. COORDINATE GEOMETRY IN TWO DIMENSIONS CONTENT OUTLINE. Condition for two lines to be parallel or perpendicular. Mid-point of line
More informationLength, Area, and Volume - Outcomes
1 Length, Area, and Volume - Outcomes Solve problems about the perimeter and area of triangles, rectangles, squares, parallelograms, trapeziums, discs, sectors, and figures made from combinations of these.
More informationGeometry Term 2 Final Exam Review
Geometry Term Final Eam Review 1. If X(5,4) is reflected in the line y =, then find X.. (5,). (5,0). (-1,) D. (-1,4) Name 6. Find the tangent of angle X. Round your answer to four decimal places. X. 0.5
More informationGeometry B. The University of Texas at Austin Continuing & Innovative Education K 16 Education Center 1
Geometry B Credit By Exam This Credit By Exam can help you prepare for the exam by giving you an idea of what you need to study, review, and learn. To succeed, you should be thoroughly familiar with the
More informationSOLID SHAPES M.K. HOME TUITION. Mathematics Revision Guides. Level: GCSE Foundation Tier
Mathematics Revision Guides Solid Shapes Page 1 of 15 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Foundation Tier SOLID SHAPES Version: 1. Date: 10-11-2015 Mathematics Revision Guides Solid
More informationBirkdale High School - Higher Scheme of Work
Birkdale High School - Higher Scheme of Work Module 1 - Integers and Decimals Understand and order integers (assumed) Use brackets and hierarchy of operations (BODMAS) Add, subtract, multiply and divide
More information120 cm respectively. Its base is a rectangle with
[ In this exercise, give your answers correct to significant figures if necessary. ] 1. The base of a pyramid is an isosceles right-angled triangle where the lengths of the two equal sides are. The height
More informationMethods in Mathematics
Write your name here Surname Other names Pearson Edexcel GCSE Centre Number Candidate Number Methods in Mathematics Unit 2: Methods 2 For Approved Pilot Centres ONLY Foundation Tier Wednesday 12 November
More information1a. [4 marks] A surveyor has to calculate the area of a triangular piece of land, DCE.
Geometry 2 DP2 1a. [4 marks] A surveyor has to calculate the area of a triangular piece of land, DCE. The lengths of CE and DE cannot be directly measured because they go through a swamp. AB, DE, BD and
More informationSolve 3-D problems using Pythagoras theorem and trigonometric ratios (A*) Solve more complex 2-D problems using Pythagoras theorem & trigonometry (A)
Moving from A to A* Solve 3-D problems using Pythagoras theorem and trigonometric ratios (A*) A* Use the sine & cosine rules to solve more complex problems involving non right-angled triangles (A*) Find
More information2. A circle is inscribed in a square of diagonal length 12 inches. What is the area of the circle?
March 24, 2011 1. When a square is cut into two congruent rectangles, each has a perimeter of P feet. When the square is cut into three congruent rectangles, each has a perimeter of P 6 feet. Determine
More informationGeometry and Measures
Geometry and Measures Midpoint of a line segment What are the coordinates of the midpoint of this line? Add the coordinates Halve them (6, 7) (2, 3) (8, 10) (4,5) + ½ (2,3) (6,7) Area of 2D shapes Triangle
More informationS3 (3.1) Volume.notebook March 02, 2016
Daily Practice 22.2.2016 Q1. Multiply out and simplify (3x - 2)(x 2-7x + 3) Q2. Factorise fully 3x 2-75 L.I: Today we will be revising how to find the volume of a prism. Q3. Calculate the value of a house
More informationCBSE Sample Papers for Class 10 SA2 Maths Solved 2016 (Set 2)
CBSE Sample Papers for Class 10 SA2 Maths Solved 2016 (Set 2) Code-LNCBSE Roll No. Please check that this question paper contains 5 printed pages. Code number given on the right hand side of the question
More informationS3 (3.1) N5 Volume.notebook April 30, 2018
Daily Practice 16.3.2018 Q1. Multiply out and simplify (3x - 2)(x 2-7x + 3) Daily Practice 19.3.2018 Q1. Multiply out and simplify (2x + 3)(x 2 + 7x + 4) Q2. Factorise fully 3x 2-75 Q2. Simplify x 3 (x
More informationGeometry--Unit 10 Study Guide
Class: Date: Geometry--Unit 10 Study Guide Determine whether each statement is true or false. If false, give a counterexample. 1. Two different great circles will intersect in exactly one point. A) True
More information? Answer:
A1 What is the value of 1 2 + 2 3 + 3 4 + 4 5 5 2? A2 What is the value of k? 11 2 22 2 33 2 = 66 2 k. A3 The four-digit integers 5634 and 6435 share the following two properties: (i) they consist of four
More informationMathematics Class 10 Board Sample paper-2
1 Mathematics Class 10 Board Sample paper-2 Time allowed: 3 hours Maximum Marks: 80 General Instructions: a) All questions are compulsory. b) The question paper consists of 30 questions divided into four
More informationEquations and Measurements EOC Assessment 35%
MGSE9-12.G.SRT.6 1. Determine the tangent of A. 3. What is x, the length of PQ in ΔPQR A. B. A. 2 feet B. 4 feet C. 4 feet D. 8 feet 4. What is x, the length of BC in ΔABC C. D. 2. For this right triangle
More informationSurface Area and Volume
Surface Area and Volume Level 1 2 1. Calculate the surface area and volume of each shape. Use metres for all lengths. Write your answers to 4 decimal places: a) 0.8 m Surface Area: Volume: b) 1 m 0.2 m
More information青藜苑教育 Volume of cylinder = r h 965 = r = 6 r 965 = r 9.98 = r = r So the radius of the cylinde
青藜苑教育 www.thetopedu.com 00-6895997 095457 Further Volume and Surface Area Objectives * To find the volume and surface area of spheres, cones, pyramids and cylinders. * To solve problems involving volume
More informationTUESDAY, 8 NOVEMBER 2016 MORNING 1 hour 45 minutes
Surname Centre Number Candidate Number Other Names 0 GCSE NEW 3300U50- A6-3300U50- MATHEMATICS UNIT : NON-CALCULATOR HIGHER TIER TUESDAY, 8 NOVEMBER 206 MORNING hour 45 minutes For s use ADDITIONAL MATERIALS
More informationSP about Rectangular Blocks
1 3D Measure Outcomes Recognise and draw the nets of prisms, cylinders, and cones. Solve problems about the surface area and volume of rectangular blocks, cylinders, right cones, prisms, spheres, and solids
More informationGCSE LINKED PAIR PILOT 4363/02 METHODS IN MATHEMATICS UNIT 1: Methods (Non-Calculator) HIGHER TIER
Surname Centre Number Candidate Number Other Names 0 GCSE LINKED PAIR PILOT 4363/02 METHODS IN MATHEMATICS UNIT 1: Methods (Non-Calculator) HIGHER TIER A.M. MONDAY, 9 June 2014 2 hours For s use CALCULATORS
More informationFind the volume of one tennis ball. (2)
1. Tennis balls are sold in cylindrical tubes that contain four balls. The radius of each tennis ball is 3.15 cm and the radius of the tube is 3.2 cm. The length of the tube is 26 cm. (a) Find the volume
More informationLet a line l and a point P not lying on it be given. By using properties of a transversal and parallel lines, a line which passes through the point P
Let a line l and a point P not lying on it be given. By using properties of a transversal and parallel lines, a line which passes through the point P and parallel to l, can be drawn. A triangle can be
More informationGeometry Final Exam - Study Guide
Geometry Final Exam - Study Guide 1. Solve for x. True or False? (questions 2-5) 2. All rectangles are rhombuses. 3. If a quadrilateral is a kite, then it is a parallelogram. 4. If two parallel lines are
More informationBOARD PAPER - MARCH 2014
BOARD PAPER - MARCH 2014 Time : 2 Hours Marks : 40 Notes : (i) Solve all questions. Draw diagrams wherever necessary. Use of calculator is not allowed. Figures to the right indicate full marks. Marks of
More informationDifferentiation and Integration
Edexcel GCE Core Mathematics C Advanced Subsidiary Differentiation and Integration Materials required for examination Mathematical Formulae (Pink or Green) Items included with question papers Nil Advice
More informationGeometry. Oklahoma Math Day INSTRUCTIONS:
Oklahoma Math Day November 16, 016 Geometry INSTRUCTIONS: 1. Do not begin the test until told to do so.. Calculators are not permitted. 3. Be sure to enter your name and high school code on the answer
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level MATHEMATICS (SYLLABUS D) 4024/02
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level MATHEMATICS (SYLLABUS D) 4024/02 Paper 2 Additional Materials: Answer Booklet/Paper Electronic calculator
More informationPRACTICAL GEOMETRY SYMMETRY AND VISUALISING SOLID SHAPES
UNIT 12 PRACTICAL GEOMETRY SYMMETRY AND VISUALISING SOLID SHAPES (A) Main Concepts and Results Let a line l and a point P not lying on it be given. By using properties of a transversal and parallel lines,
More informationTo be a grade 1 I need to
To be a grade 1 I need to Order positive and negative integers Understand addition and subtraction of whole numbers and decimals Apply the four operations in correct order to integers and proper fractions
More informationArea & Volume. Contents Area and perimeter formulae Finding missing lengths when given area or perimeter...
Area & Volume Aidan Ryan aidan.ryan@stmichaelscollege.com Contents Area and perimeter formulae... 2 Finding missing lengths when given area or perimeter... 8 Volume and surface area formulae... 9 Finding
More information0815geo. Geometry CCSS Regents Exam In the diagram below, a square is graphed in the coordinate plane.
0815geo 1 A parallelogram must be a rectangle when its 1) diagonals are perpendicular 2) diagonals are congruent ) opposite sides are parallel 4) opposite sides are congruent 5 In the diagram below, a
More informationGeneral Pyramids. General Cone. Right Circular Cone = "Cone"
Aim #6: What are general pyramids and cones? CC Geometry H Do Now: Put the images shown below into the groups (A,B,C and D) based on their properties. Group A: General Cylinders Group B: Prisms Group C:
More informationWorksheets for GCSE Mathematics. Perimeter & Area. Mr Black's Maths Resources for Teachers GCSE 1-9. Shape
Worksheets for GCSE Mathematics Perimeter & Area Mr Black's Maths Resources for Teachers GCSE 1-9 Shape Perimeter & Area Worksheets Contents Differentiated Independent Learning Worksheets Perimeter of
More informationMaths Module 4: Geometry. Student s Book
Maths Module 4: Geometry Student s Book Maths Module 4: Geometry and Trigonometry Contents 1. Shapes - Page 2 - Angles - Triangles - Quadrilaterals - Congruence - Similar shapes 2. Constructions - Page
More informationUniversity of Houston High School Mathematics Contest Geometry Exam Spring 2013
High School Mathematics Contest Spring 01 Note that diagrams may not be drawn to scale. 1. Which of the following conditions is NOT sufficient to prove that a quadrilateral is a parallelogram? (B) (C)
More informationWJEC LEVEL 2 CERTIFICATE 9550/01 ADDITIONAL MATHEMATICS
Surname Other Names Centre Number 0 Candidate Number WJEC LEVEL 2 CERTIFICATE 9550/01 ADDITIONAL MATHEMATICS A.M. MONDAY, 24 June 2013 2 1 hours 2 ADDITIONAL MATERIALS A calculator will be required for
More informationSection A. 3. The number of solid spheres, each of diameter that could be moulded to form a solid metal cylinder of height and diameter is:
Class X Mathematics Section A 1. If the equation has real and distinct roots, then: 2. The from the end of the A.P. is: 3. The number of solid spheres, each of diameter that could be moulded to form a
More informationGeometry Second Semester Final Exam Review
Name: Class: Date: ID: A Geometry Second Semester Final Exam Review 1. Find the length of the leg of this right triangle. Give an approximation to 3 decimal places. 2. Find the length of the leg of this
More informationMathematics (JUN11MPC201) General Certificate of Education Advanced Subsidiary Examination June Unit Pure Core TOTAL
Centre Number Candidate Number For Examiner s Use Surname Other Names Candidate Signature Examiner s Initials Mathematics Unit Pure Core 2 Wednesday 18 May 2011 General Certificate of Education Advanced
More informationName: DUE: HOUR: 2015/2016 Geometry Final Exam Review
Name: DUE: HOUR: 2015/2016 Geometry Final Exam Review 1. Find x. 2. Find y. x = 3. A right triangle is shown below. Find the lengths x, y, and z. y = 4. Find x. x = y = z = x = 5. Find x. x = 6. ABC ~
More informationMoore Catholic High School Math Department
Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during
More informationPaper Reference. Paper Reference(s) 5518/18 Edexcel GCSE Mathematics B 1388 Paper 18 (Non-Calculator) Higher Tier
Centre No. Candidate No. Paper Reference 5 5 1 8 1 8 Surname Signature Initial(s) Paper Reference(s) 5518/18 Edexcel GCSE Mathematics B 1388 Paper 18 (Non-Calculator) Higher Tier Wednesday 4 June 2003
More information