The City School. Comprehensive Worksheet MATHEMATICS Class 6. Candidate Name: Index Number: Section: Branch/Campus: Date:

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1 The City School Comprehensive Worksheet MATHEMATICS Class 6 Candidate Name: Index Number: Section: Branch/Campus: Date: Maximum Marks: 100 Time Allowed: 2 hours INSTRUCTIONS: Write your name, index number, section, branch/campus and date clearly in the space provided. Read and follow the instructions of the given questions. Answer all the questions in the space provided. Select only one answers when made to choose, otherwise no marks will be given. Check your answers before handing your paper in. Marks for each section are shown below. This paper consists of 14 printed pages including the cover page. For Examiner s use only Sections Section A Section B Total Question Max. Marks Marks Obtained Percentage Grade INVIGILATED BY MARKED BY MARKS TALLIED BY The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 6 Page 1 of 14

2 SECTION A Q.1 Encircle the correct option [ /10] a) Equivalent percentage for 1 4 is i. 25% ii. 34% iii. 50% iv. 75% b) The simplest form of a ratio 75 : 30 i. 15 : 6 ii. 5 : 2 iii. 2 : 5 iv. 6 : 15 c) The algebraic expression for The product of x and 3y subtracted from the sum of p & q is i. p 3 xy + q ii. (p + q) 3 xy iii. 3 xy (p + q) iv. q 3 xy + p d) The angles which is greater than 180 is called i. Acute angle ii. Obtuse angle iii. Right angle iv. Reflex angle e) 6:45pm when converted in 24 hour clock is i ii iii iv The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 6 Page 2 of 14

3 f) 3kg + 330g = g i ii. 330 iii iv. 300 g) Sum of all sides of a shape is called i. Area ii. Perimeter iii. Surface Area iv. Volume h) The formula of surface area of cube is i. 4L ii. 4L² iii. 6L iv. 6L² i) (-5, -2) lies in quadrant i. 1 st ii. 2 nd iii. 3 rd iv. 4 th j) Average of 20, 30 and 40 i. 30 ii. 35 iii. 40 iv. 45 The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 6 Page 3 of 14

4 Q.2 (a) Fill in the blanks [ /5] i. 62.5% expressed in decimal is. ii. The coordinates of origin is. iii. The simplest form of 36 : 27 is. iv. Simplify 6a 2b = v. If a heater uses 3 units of electricity in 30 minutes, then in 1 hour it uses units. (b) State whether the statements given below are True of False [ /5] i. The supplementary angle of 65 is 25 ii. In the expression 6xy, x and y are called variables iii. Formula for volume of cuboid is V = L³ iv. The half of diameter is called radius v. 6x 2 = 36x² Q.3 [ /10] (a) Complete the following table [ /4] FRACTION DECIMAL PERCENTAGE 67% The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 6 Page 4 of 14

5 (b) If x y = 4 : 5 and y z = 6 : 8, then calculate x y z[ /3] (c) Express 65 g and 1 kg in ratio in its simplest form [ /1] (d) Find the area of ΔPQR if PR = 20 cm, QS = 10 cm and QR = 8 cm. [ /2] Q P R S The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 6 Page 5 of 14

6 Q.4 [ /10] a) The coordinates of the point A, B, C, D and E are given below. Plot and label each on the graph. Name the shape drawn [ /2] A (-6, 4) B (0, -4) C (4, -2) D (-2, 6) b) Convert the following [ /2] i ml = litres ii tonne = kg iii m = km iv. 6.2 cm = mm c) i. Calculate the volume of the cube of length 9 cm [ /4] ii. Calculate the volume of the cuboid of length = 40 cm, width = 0.2 m and height = 5cm The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 6 Page 6 of 14

7 d) Complete the following to form equivalent ratios [ /2] i. 3 : = 9 : 15 ii. 8 : 10 = : 50 iii. : 12 = 48 : 72 iv. 4 : 5 = 8 : Q.5 [ /10] a)write the algebraic expression for the following [ /2] i. 3 times x added to twice of z divided by 5y ii. From the sum of 2x and 3y, Subtract the product of a and 7b b) If x = 4, y = -2 and z = -1 Evaluate the following equations[ /4] i. 4x² 3x 5z ii. 7z + x² y The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 6 Page 7 of 14

8 c) Simplify and expand the following [ /2] 4m + 5 2n + 3p 4(n m p) d) Subtract a³ 3a² 5a + 5 from 4a³ 2a + 7[ /2] The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 6 Page 8 of 14

9 SECTION B Q.6 [ /10] a) Draw a circle whose diameter is 10 cm [ /2] b)find the unknown angles[ /3] P 40 2P 140 O c) A train journey from a town to city takes 1 hour 12 minutes [ /2] i. At what time will it reach city if it departs at 0715? ii. At what time will it depart from town if it reaches city at 2125? The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 6 Page 9 of 14

10 d) At a school 65% of students are foreigners. If the total number of students in school are 240, how many students are local? [ /3] Q.7 [ /10] a) In a factory there are 2 types of liquid stored. Liquid A is 81 litres and Liquid B is 90000ml. Calculate the ratio of Liquid B and Liquid A and write in its simplest form [ /3] b) i. Calculate the area of the colored region [ /4] 14cm 80mm 6cm 60 30mm ii.calculate the perimeter of the colored rectanglein cm. The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 6 Page 10 of 14

11 c) A machine prints 1500 newspaper in 45 minutes. How many newspapers does it print in 3 hours? [ /3] Q.8 [ /10] a) The cuboid has a volume of 320cm³ [ /4] x 8cm 4cm Calculate the height of the edge marked x b) Calculate the surface area of this cuboid[ /3] 8cm 10cm 5cm The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 6 Page 11 of 14

12 c) A class carried out a survey to find out how many pets the students have. The results are shown in the frequency table. [ /3] NUMBER OF PETS FREQUENCY Calculate the mean and mode Q.9 [ /10] a) Find the perimeter of the following figure [ /3] 6cm 6cm The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 6 Page 12 of 14

13 b) Find the mean of 1 st six odd numbers [ /2] c) There are 5 pipes of different lengths 1.8m, 2.0m, 2.4m, 1.6m, 2.2m. Find the average length of these wires [ /3] d) A furniture set costs $650. It was reduced by 20% during a sale. How much will the furniture cost now? [ /3] Q.10 The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 6 Page 13 of 14

14 [ /10] a) 15 kg of a shipment cost $2700 i) Find the rate of shipment [ /2] ii) What will be the cost of 7kg of shipment? [ /2] b) Write the algebraic expression i) 1 red box, 3 green boxes and 5 yellow boxes[ /1] ii) If each box contains balls. What will be the total number of balls if each red box contains 7 balls, each green box contains 6 balls and each yellow box contains 4 balls? [ /2] c) Write a simplified expression for the perimeter of the rectangle [ /3] The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2018/ Mathematics / Class 6 Page 14 of 14