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1.

Arrange in descending order: 39236457,41529366,41571245,392714512,39229366

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ANSWER :39,27,14,512;4,15,71,245;4,15,29,366;3,92,35,457;3,92,29,366
2.

Evaluate the following arithmetic expressions: 14xx8-39-:3+17

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ANSWER :116
3.

Calculate the size of each lettered angle in the following sketches:

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ANSWER :`x=38^(@), y= 22^(@), Z= 120^(@)`
4.

Calculate the size of each lettered angle in the following sketches:

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ANSWER :`x=45^(@), y= 80^(@), Z= 55^(@)`
5.

Write the given numbers in expanded form: 38193863

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ANSWER :3,00,00,000+80,00,000+1,00,000+90,000+3,000+800+60+3
6.

Find the value of the following: 850-:850

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ANSWER :1
7.

Estimate the sum or difference as indicated: 23, 678-12,399 (rounding off to the nearest thousand)

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ANSWER :12000
8.

A plane is named by three points on the plane which are collinear ?

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ANSWER :FALSE
9.

Find the difference: 8/(11)-2/(8)

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ANSWER :`21/(44)`
10.

Find : 5 - 8

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ANSWER :-3
11.

Express the given number as the sum of two odd prime i. 48 ii. 36

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ANSWER :(i) `5 + 43`, (II) `5 + 31`
12.

Solve a. 93xx105 b. 88xx204

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ANSWER :a. 9765 B. 17952
13.

Find the ratio of: 350 g to 4kg.

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ANSWER :`7:80`
14.

Write the following statements in the form of algebraic expressions. The sum of 31 and s.

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ANSWER :`31+x`
15.

Write the place value of each digit of 90, 578 express it in expanded form and also write its number name.

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ANSWER :`(##OXF_SMT_ICSE_MAT_VI_C01_SLV_002_A01##)`
16.

Punnet covered 2_(th)/(4) of his journey by car and 1_(th)/(4) by bus. How much of the journey has he covered?

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ANSWER : `3_(TH)/(4)`
17.

Write the greatest factor of the following numbers (except for the number itself) 42

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`21`
`42`
`12`
`20`

ANSWER :A
18.

Write the following examples using the proper sign : The height of Mt. Everest, the highest peak in the Himalayas, is 8848 metres from the sea level.

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Solution :The HEIGHT of Mt. EVEREST, the highest PEAK in the Himalayas, is `+ 8848` metres from the sea LEVEL.
19.

If a man buys an article for Rs. 80 and sells it for Rs. 100, then his gain percentage is

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0.2
0.25
0.4
1.25

Answer :B
20.

Evaluate: (14-:7)+[{(13+3)-:2}-4]

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`9`
`12`
`10`
`6`

ANSWER :D
21.

Add or subtract:19/(8)-17/(8)

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ANSWER : `1/(4)`
22.

Estimate the following by rounding off each number of its greatest place: 4562-:24

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ANSWER :250
23.

Find: 8/(15)-3/(11)

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ANSWER : `43/(165)`
24.

Find dy/dx if y=x-cos2x

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ANSWER :`315^(@)`
25.

Find dy/dx if x=3y-tanx

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ANSWER :`235^(@)`
26.

Write the successors and predecessors of: 7,42,689

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ANSWER :3693700, 3693698
27.

Write the successor of 1 lakh.

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`99,999`
`1,00,002`
`1,00,001`
`1,00,000`

ANSWER :C
28.

Simplify 423xx55+423xx45.

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ANSWER :42300
29.

Evaluate using BODMAS: 21xx(3-1)-:3-:7

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ANSWER :2
30.

Answer in true or false: a, b, d are all variables.

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ANSWER :TURE
31.

Evaluating the followng : 29-4-7-44+5

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ANSWER :12
32.

Find the sum: 5/(8)+8/ (28)

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ANSWER :`51/(56)`
33.

Anun buys 45 kg of wheat. If one kilogram of wheat costs Rs. 52, find the total cost.

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ANSWER :RS/ 2340
34.

In the following figures (i) to (iv), a pair of parallel lines are cut by a transversal. Find the size of each lettered angle

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ANSWER :`p=45^(@), Q= 135^(@)`
35.

In the following figures (i) to (iv), a pair of parallel lines are cut by a transversal. Find the size of each lettered angle

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ANSWER :`x=60^(@), y= 60^(@)`
36.

In the following figures (i) to (iv), a pair of parallel lines are cut by a transversal. Find the size of each lettered angle

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ANSWER :`a=70^(@), B= 110^(@)`
37.

In the following figures (i) to (iv), a pair of parallel lines are cut by a transversal. Find the size of each lettered angle

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ANSWER :`a= 105^(@), B= 75^(@), C= 75^(@), d= 105^(@)`
38.

In the following figures (i) to (iv), a pair of parallel lines are cut by a transversal. Find the size of each lettered angle

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ANSWER :`x=52^(@), y= 52^(@), Z= 128^(@)`
39.

In the following figures (i) to (iv), a pair of parallel lines are cut by a transversal. Find the size of each lettered angle

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<P>

ANSWER :`p= 62^(@), q= 118^(@), R= 118^(@), s= 62^(@)`
40.

Write the following improper fractions as mixed fractions: 87/(11)

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ANSWER :`7(10)/(11)`
41.

Find the value of each of the following algebraicexpressions. 22-5x - 3y, where x = 5, y=-4

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ANSWER :9
42.

Find the value of the following: 278xx15/3xx2

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ANSWER :2780
43.

Find the ratio of: 250 mL to 2 L.

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ANSWER :`1:8`
44.

Fill in the blanks: a. 20xx3km=_______km=___m =_____cm=_________mm b. 55xx6kL=____kL=______L =____mL c. 45xx3kg=___kg=_________g =___mg

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ANSWER :6,00,00,000mm,33,00,00,000mL, 13,50,00,000 MG
45.

Evaluate: 47+1xx6-:2-25

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ANSWER :25
46.

The sum of two prime numbers is always prime

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ANSWER :F
47.

An umbrella is sold for Rs. 198 at a gain of 10%. What is the cost price of the umbrella? At what price must it be sold to gain 25%?

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ANSWER :RS. 180; Rs. 225
48.

Replace * by the largest digit so that: (i) 346*64 is divisible by 8 (ii) 40643* is divisible by 11 (iii) 54678* is divisible by 2 (iv) 946*59 is divisible by 3

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Answer :(i) 8, (II) 9, (III) 8, (IV) 9
49.

Find: 3(1)/(8)+1(5)/(12)

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` 4(13)/(24)`
` 4(15)/(24)`
` 4(17)/(24)`
` 4(19)/(24)`

ANSWER :A
50.

Write the successor of: 4,56,309

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ANSWER :4,56,310