Mathematics

Date: Class: VI

Time: 3 hours M.M: 90

General Instructions: Read the question paper carefully and answer legibly.

1. All questions are compulsory.
2. The question paper consists of 31 questions divided into four sections A, B, C and D.
3. Section A comprises of 4 questions of 1 mark each, Section B comprises of 6 questions of 2 marks each, Section C comprises of 10 questions of 3 marks each, Section D comprises of 11 questions of 4 marks each.
4. Use of calculators is not permitted.

Section-A

1 Find the smallest digit that should replace * to make 37*29 divisible by 3. 2 How many whole numbers are there between 101 and 184? 3 Find the product of successor and predecessor of 99. 4 Write the number name for 34,765,009.

Section-B

5 Using properties of whole numbers, find the value of <math>13457 \times 105 - 13457 \times 5</math>. 2

6 Arrange the integers in descending order: 24, -11, -1, 0, 15 7 Using the divisibility rules check whether 367218 is divisible by 6 or not? 2 2

8 Draw a 6-sided polygon. Name it and shade its interior. 2

9 Fill in the blanks:

1. The largest negative integer is _____
2. The predecessor of -421 is 2
3. Smallest whole number is_____
4. A number which has more than two factors is called a _____

10 Reeta pays Rs 1500 to her piano teacher and Rs 750 to donation club every month. Find 2

the total amount paid by her in one year.

Section-C

11 a) Write the number of faces, edges and vertices of a triangular prism. <math>(1.5+1.5)</math>

1. Name the type of triangle in two different ways: <math>\triangle ABC</math> with <math>\angle B = 110^0</math> and <math>AB = AC..</math> 12 Compare the following (show working also)
2. <math>(-46) - (-28) \underline{\hspace{1cm}} (-48) - (-26)</math> 3
3. -41-98____41 + 98

13 a) Neha and Riya starts from a common point O. Neha moves in North direction and Riya moves in east direction. Draw their paths and name them as N and E respectively. What <math>2 + 1</math>

type of angle is formed between their paths?

1. Write all the factors of 75.

14 A shopkeeper sold 20 stools for Rs 530 each and 20 tables for Rs 670 each. Find the total money received by the shopkeeper? (Use distributive property). 3

15 Find the smallest 3 digit number exactly divisible by 6, 8 and 12? 3

16 A merchant had Rs 61243 with him. He placed an order for purchasing 60 ceiling fans for 3

Rs 900 each. How much money will remain with him after the purchase? 17 Simplify: 3

1. <math>45 + (-13) - (-9)</math>
2. <math>(-22)-(-18)+15</math>

18 a) Find the number of right angles turned through by the hour of a clock when it goes from 1 to 7.

1. How many degrees are there in 2 right angles? 3
2. Write number of faces and edges in Square Pyramid.

19 a) The sum of two integers is -55. If one of them is 80, find the other? 3

1. Write all the integers between 0 and -6 in the increasing order.

20 Use number line and add the integers: <math>(-6) + 3 + (-4)</math> 3

Section-D

21 Using divisibility test, determine whether the number 543908 is divisible by 11 or not? Is it divisible by 8? Give reason. 4

22 In a school, the members of Eco Club were taken for a trip to nearby nursery. As a part of a project children planted 102 saplings. The cost of each sapling is Rs 175. Find total amount spent on saplings (Using Distributive property). What is the benefit of conducting 4

this activity in school? 23 Draw a rough sketch of a regular pentagon. Draw and write the number of the diagonals it has. 4

24 a) Estimate the sum 3390 + 4986 to nearest thousands.

1. Estimate the product <math>578 \times 617</math> to nearest hundreds. 4

25 The traffic lights at three different road crossings change after every 48 seconds, 72 second and 108 seconds respectively. If they change simultaneously at 6 a.m., at what <math>(3+1)</math>

time will they change simultaneously again? 26 In the figure given below: 4

b) The common arm of <math>\angle 1</math> and <math>\angle 2</math> is_____ d)

1. A pair of parallel line segments is_