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The City School/ PAF Chapter/ Comprehensive Worksheet/ May 2017/ Mathematics Class 6 of 14

The City School

COMPREHENSIVE WORKSHEET MAY 2017

MATHEMATICS

Class – 6

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 answer when made to choose, otherwise no marks will be given.

Check your answer 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……………………

Percentage

Grade

_________________ _____________ _____________________ INVIGILATED BY MARKED BY MARKS TALLIED BY

Sections Section A Section B Total

Question 1 2 3 4 5 1 2 3 4 5

Max. Marks 10 10 10 10 10 10 10 10 10 10 100

Marks Obtained

Candidate Name: _________________________________________________________________

Index Number: _____________________________________________ Section: _____________

Branch/Campus: ____________________________________________ Date: _____________

Maximum Marks: 100 Time Allowed: 2 hours


SECTION A

Q.1 Encircle the correct option [ /10]

a) Equivalent percentage for

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 and 3y subtracted from the

sum of p & q is

i.

ii.

iii.

iv.

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. 0645

ii. 1245

iii. 1845

iv. 1945


f) 3kg + 330g = _________ g

i. 3330

ii. 330

iii. 3300

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. 1st

ii. 2nd

iii. 3rd

iv. 4th

j) Average of 20 , 30 and 40

i. 30

ii. 35

iii. 40

iv. 45


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 = __________

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 and are called variables _________

iii. Formula for volume of cuboid is _________

iv. The half of diameter is called radius _________

v. _________

Q.3 [ /10]

(a) Complete the following table [ /4]

FRACTION DECIMAL PERCENTAGE

67%

0.255


(b) If = 4 : 5 and = 6 : 8 , then calculate [ /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] [ /1]

Q P R

S


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. 5280 ml = ___________ litres

ii. 0.45 tonne = ___________ kg

iii. 26500 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

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 added to twice of divided by 5

__________________________________________________

ii. From the sum of and , Subtract the product of and

__________________________________________________

b) If = 4 , = -2 and = -1

Evaluate the following equations [ /4]

i. ii.


c) Simplify and expand the following [ /2]

d) Subtract from [ /2]


SECTION B

Q.6 [ /10]

a) Draw a circle of diameter 10 cm [ /2]

b) Find the unknown angles [ /3]

p 40° 140° p 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?

______________________________________________________


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 60 6cm

ii. Calculate the perimeter of the colored rectangle

80mm 30mm


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]

8cm 4cm

Calculate the height of the edge marked

b) Calculate the surface area of this cuboid [ /3]

8cm

10cm 5cm


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]

Calculate the mean and mode

Q.9 [ /10]

a) Find the perimeter of the following figure [ /3]

6cm

6cm

NUMBER OF

PETS FREQUENCY

0 5

1 8

2 4

3 2

8 1


b) Find the mean of 1st six odd numbers [ /2]

c) There are 5 pipes of different lengths 1.8m , 2.0m , 2.4 m , 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 [ /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]

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