10 steps to (Edexcel) Certificate Success! A PiXL 10-session Booster Resource aimed at E/F/G Borderline candidates
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1 10 steps to (Edexcel) Certificate Success! A PiXL 10-session Booster Resource aimed at E/F/G Borderline candidates PiXL Maths Associates Page 1
2 Contents Session 1 Basic Arithmetic & BODMAS 1.1 Write a number in words / place value Use of Basic Arithmetic Reading number lines and scales Reading timetables 1.2 Using a calculator BODMAS Simple index numbers Session 2 Transformations & Coordinates 2.1 Reflect simple shapes using a mirror line Order of rotational symmetry Translate a shape using a description such as 4 units right and 4 units down Enlarge a shape by a positive scale factor 2.2 Find the coordinates of the midpoint of the line segment AB, given the points A and B Plot points in all 4 quadrants Session 3 Displaying Data 3.1 Bar Chart Pictograms 3.2 Interpreting Pie Charts Combinations Session 4 Formulae & equations 4.1 Substitute numbers into simple formulae and expressions Rearrange linear formulae such as s = 4q - 7 Use formulae expressed in words 4.2 Solve simple linear equations Session 5 2D and 3D Shapes 5.1 Know the name of standard 3D shapes Find the area of a triangle and rectangle Find the area and perimeter of compound shapes Session 6 Sequences & Basic Algebra 6.1 Generate terms of a sequence using term-to-term methods Generate terms of a sequence in pictures 6.2 Multiply out brackets expressions with brackets such as 5(3x-2) Collecting like terms Session 7 Probability & Averages 7.1 Calculate the mean, mode and median for small data sets 7.2 Understand that probabilities must be written as fractions, decimals or percentages Use the fact that the probabilities of mutually exclusive events add up to 1 PiXL Maths Associates Page 2
3 Be able to calculate Expected Frequency Session 8 Angles & Travel Graphs 8.1 Angles on a straight line, intersecting lines. Angle properties of triangles and quadrilaterals 8.2 Travel graphs Session 9 Fractions & Decimals 9.1 Fraction of a shape shaded Convert between fractions, decimals and percentages Order fractions, decimals and percentages Understand the effects of multiplying and dividing by numbers between 0 and 1 Session 10 Percentages 10.1 Work out a percentage of a shaded shape Express one quantity as a percentage of another PiXL Maths Associates Page 3
4 Session 1 Basic Arithmetic & BODMAS Test 1.1 Write a number in words / place value Use of Basic Arithmetic Reading number lines and scales Question 1 PiXL Maths Associates Page 4
5 Question 2 Cinema tickets Adult ticket: 8.65 Child ticket: 4.90 Senior ticket: 5.85 Tony buys one child ticket and one senior ticket. (a) Work out the total cost. Stephanie buys adult tickets only. The total cost is (b) How many adult tickets does she buy?... Question 3 (Total 2 marks) The chart below shows the distances, in miles, between pairs of cities by the fastest route. For example, the distance between Cardiff and Edinburgh is 400 miles by the fastest route. London 155 Cardiff York Edinburgh (a) Write down the distance between London and Edinburgh by the fastest route..... miles PiXL Maths Associates Page 5
6 Question 4 (a) Write down the number marked by the arrow.... (b) Find the number 110 on the number line. Mark it with an arrow ( ). (c) Find the number 0.27 on the number line. Mark it with an arrow ( ). (Total 3 marks) Total Mark /10 PiXL Maths Associates Page 6
7 Test 1.2 Using a calculator BODMAS Simple index numbers Question 1 Question 2 (a) Work out Write down all the numbers on your calculator display. (b) Give your answer to part (a) correct to 1 significant figure.... (3)... (Total 4 marks) PiXL Maths Associates Page 7
8 Question 3 (a) Work out (b) Work out (c) Work out (4 + 3) (Total 3 marks) Total Mark /10 PiXL Maths Associates Page 8
9 Session 2 Transformations & Co-ordinates Test 2.1 Reflect simple shapes using a mirror line Order of rotational symmetry Translate a shape using a description such as 4 units right and 4 units down Enlarge a shape by a positive scale factor Question 1 This question is about transformations of triangle A. (a) Describe fully the single transformation that takes triangle A onto triangle B..... (2 marks) (b) Translate triangle A, 2 units to the left and 3 units down. Label the new triangle C..... (2 mark) (Total 4 marks) PiXL Maths Associates Page 9
10 Question 2 PiXL Maths Associates Page 10
11 Question 3 On the grid, draw an enlargement, scale factor 2, of the shaded shape. (2) PiXL Maths Associates Page 11
12 Question 4 (a) Shade one more square to make a pattern with 1 line of symmetry. (b) Shade one more square to make a pattern with rotational symmetry of order 2 (Total 2 marks) Total Mark /10 PiXL Maths Associates Page 12
13 Test 2.2 Find the coordinates of the midpoint of the line segment AB, given the points A and B Plot points in all 4 quadrants Question 1 PiXL Maths Associates Page 13
14 Question 2 Points A, B and C are three corners of a square ABCD. Write down the coordinates of A, B and C. y 7 C B 2 1 A x A (...,...) B (...,...) C (...,...) (2 marks) PiXL Maths Associates Page 14
15 Question 3 (a) Write down the coordinates of the point P. (...,...) (b) Write down the coordinates of the point Q. (...,...) M is the midpoint of the line from Q to P. (c) Find the coordinates of M. (...,...) (2) (Total 4 marks) Total Mark /10 PiXL Maths Associates Page 15
16 Session 3 Statistics & Probability Test 3.1 Bar Chart Pictogram Question 1 Emma asks her friends what type of TV programme they like best. Type of TV programme Frequency Cartoons 4 Drama 2 Quizzes 1 Soaps 6 (a) Draw a bar chart to show Emma s results. 7 6 Frequency Cartoons Drama Quizzes Soaps (2) (b) Emma chooses one of her friends at random. What is the probability that this friend chose cartoons? Answer... (3) (Total 5 marks) PiXL Maths Associates Page 16
17 Question 2 PiXL Maths Associates Page 17 (2) (Total 5 marks) Total Mark / 10
18 Test 3.2 Interpreting Pie Charts Combinations Question 1 Total 3 marks PiXL Maths Associates Page 18
19 Question 2 Total 3 marks PiXL Maths Associates Page 19
20 Question 3 Total 4 marks Total Mark /10 PiXL Maths Associates Page 20
21 Session 4 Formulae & Equations Test 5.1 Substitute numbers into formulae Rearrange linear formulae such as s = 4q - 7 Use formulae expressed in words Question 1 (a) Work out the value of 2a +ay when a =5 and y = -3 (b) Work out the value of 5t 2 7 when t = 4... (2)... (3) (Total 5 marks) PiXL Maths Associates Page 21
22 Question 2 Make y the subject of the formula 5x + 3y =7 y =... (2 marks) Question 3 The cost, in pounds, of hiring a car can be worked out using this rule. Add 3 to the number of days hire Multiply your answer by 10 The cost of hiring a car for n days is C pounds. Write down a formula for C in terms of n. (3 marks) Total Mark /10 PiXL Maths Associates Page 22
23 Test 5.2 Solve linear simple equations Question 1 Solve 4y + 2 = 9 Question 2 y =. (2) Question 3 (3) Question 4 PiXL Maths Associates Page 23 (3) Total Mark /10
24 Session 5 2D/3D Shapes Test 5.1 Know the name of standard 3D shapes Find the area of a triangle & rectangle Find the area and perimeter of compound shapes Question 1 Write down the name of each of these 3-D shapes (i) (ii) (i). (ii) (Total 2 marks) Question 2 The diagram shows a shaded shape drawn on a centimetre grid. (a) Work out the perimeter of the shaded shape. (b) Work out the area of the shaded shape. State the units of your answer.... cm... (2) (Total 3 marks) PiXL Maths Associates Page 24
25 Question 3 Here is a shape drawn on a centimetre grid. (a) Find the perimeter of the shaded shape. (b) Find the area of the shaded shape. State the units of your answer. Question 4 Here is a rectangle.. cm. (2) (Total 3 marks) 3.5cm Diagram NOT drawn accurately 5.6cm (a) Work out the perimeter of the rectangle. (b) Work out the area of the rectangle.. cm cm 3 (Total 2 marks) Total Mark /10 PiXL Maths Associates Page 25
26 Session 6 Sequences & Basic Algebra Test 6.1 Write the terms of a sequence in pictures Generate terms of a sequence using term-to-term methods Question 1. (a) Write down the next two terms in the number pattern 3, 7, 11, 15,, (b) Write down, in words, the rule for finding the next number in the pattern from the one before. (4 marks) Question 2 Copy and complete the table Shape number Number of dots (2 marks) PiXL Maths Associates Page 26
27 Question 3 Chi Sam is making patterns with dots Pattern 1 Pattern 2 Pattern 3 (a) In the space below, draw Pattern (2) (b) Complete the table for the number of dots in each pattern. Pattern number Number of dots (2) Total Mark /10 PiXL Maths Associates Page 27
28 Test 6.2 Content: Multiply out brackets expressions with brackets such as 5(3x-2) Collecting like terms Question 1 Simplify 8c + 5d c 3d. (2) Question 2 (a) Simplify m + m + m + m (b) Simplify p q 4 (c) Expand 5(3x 2) (d) Expand 3y( y + 4)... (2) (Total 5 marks) PiXL Maths Associates Page 28
29 Question 3 (a) Simplify 8x 4x (b) Simplify y y y... (c) Simplify 4x + 3y 2x + 5y (Total 3 marks) Total Mark /10 PiXL Maths Associates Page 29
30 Session 7 Probability & Averages Test 7.1 Calculate the mean, mode & median for small data sets Question 1 The sizes of the first eleven pairs of shoes sold in a shop one morning are (a) What is the mode of the data?... Answer... (2) (b) What is the median shoe size?... Answer... (2) (c) Which of the mode or median would be more useful to the shopkeeper when he is ordering more shoes? Explain your answer (2) (Total 6 marks) PiXL Maths Associates Page 30
31 Question 2 Total Mark /10 PiXL Maths Associates Page 31
32 Test 7.2 Understand that probabilities must be written as fractions, decimals or percentages Use a probability scale Use the fact that probabilities add up to 1 Be able to calculate Expected Frequency Question 1 PiXL Maths Associates Page 32
33 Question 2 PiXL Maths Associates Page 33
34 Question 3 Total Mark /10 PiXL Maths Associates Page 34
35 Session 8 Angles & Travel Graphs Test 8.1 Angles on a straight line, intersecting lines Angle properties of triangles and quadrilaterals Question 1 ABC is a straight line. (a) (i) Work out the size of the angle marked x (ii) Give a reason for your answer.. (2 marks) (b) (i) Work out the size of the angle marked y.... (ii) Give a reason for your answer. (2 marks) (Total 4 marks) PiXL Maths Associates Page 35
36 Question 2: Total Mark /10 PiXL Maths Associates Page 36
37 Test 8.2 Travel graphs Question 1 PiXL Maths Associates Page 37 (2)
38 Question 2 Rana cycled from his home to the supermarket. Rana did his shopping in the supermarket. Then he cycled back home. The graph below is a distance-time graph of Rana s complete journey. (a) At what time did Rana leave his home? (b) What is the distance from Rana s home to the supermarket? (c) How long, in minutes, did Rana spend in the supermarket?.. (2).. (2).. (2) (Total 6 marks) Total Mark /10 PiXL Maths Associates Page 38
39 Session 9 Fractions & Decimals Test 9.1 Fraction of a shape shaded Convert between fractions, decimals & percentages Order fractions, decimals & percentages Understand the effects of multiplying and dividing by numbers between 0 and 1 Question 1 Question 2 Write these fractions in order of size. Start with the smallest fraction... PiXL Maths Associates Page 39
40 Question 3 Change into a decimal.. Question 3 Write 60% as a decimal.. Question 4 Write 0.85 as a percentage.. Question 5 Question 6 (a) Calculate (b) Calculate Total Mark /10 PiXL Maths Associates Page 40
41 Session 10 Percentages Test 10.1 Work out a percentage of a quantity Work out percentages of a shaded shape Express one quantity as a percentage of another Question 1 Work out 70% of 340 (3 marks) Question 2 (2) PiXL Maths Associates Page 41
42 Question 3 Andrew got 42 out of 60 marks in a history test. He got 48 out of 50 marks in a geography test. The marks for each test were changed to a percentage. In which test did Andrew get the higher percentage mark? You must show all your calculations... (4 marks) Question 4 PiXL Maths Associates Page 42
43 Total Mark /10 PiXL Maths Associates Page 43
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