#### Class 7 Term 3 SA Mock Test

7th Standard

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Maths

Time : 02:15:00 Hrs
Total Marks : 60

I. Choose the best answer:

15 x 1 = 15
1. Three times a number is 60. Then the number is

(a)

63

(b)

57

(c)

180

(d)

20

2. Three times the difference of x and y

(a)

3x - y

(b)

3 - x - y

(c)

xy - 3

(d)

3( y - x )

3. Half of p added to the product of 6 and q

(a)

$\frac{p}{2}+6q$

(b)

$p+\frac{6q}{2}$

(c)

$\frac{1}{2}\left(p+6q\right)$

(d)

$\frac{1}{2}\left(6p+q\right)$

4. The common fraction of 30 % is

(a)

$\frac { 1 }{ 10 }$

(b)

$\frac { 7 }{ 10 }$

(c)

$\frac { 3 }{ 100 }$

(d)

$\frac { 3 }{ 10 }$

5. If the cost price of a bag is Rs 575 and the selling price is Rs 625, then there is a profit of Rs

(a)

50

(b)

575

(c)

625

(d)

None of these

6. If the cost price of the box is Rs 155 and the selling price is Rs 140, then there is a loss of Rs

(a)

155

(b)

140

(c)

15

(d)

none of these

7. If the selling price of a bag is Rs 235 and the cost price is Rs 200, then there is a

(a)

Profit of Rs 235

(b)

loss of Rs 3

(c)

profit of Rs 35

(d)

loss of Rs 200

8. Gain or loss percent is always calculated on

(a)

Cost Price

(b)

selling price

(c)

gain

(d)

loss

9. The area of trapezium is ____________ sq. units

(a)

h(a + b)

(b)

$\frac{1}{2}$ h(a + b)

(c)

h(a - b)

(d)

$\frac{1}{2}$ h(a - b)

10. The sum of parallel sides of a trapezium is 18 cm and height is 15 cm. Then its area is

(a)

105 cm2

(b)

115 cm2

(c)

125 cm2

(d)

135 cm2

11. The line segment that joins the centre of a circle to any point on the circle is called

(a)

Diameter

(b)

(c)

Chord

(d)

None

12. The circumference of a circle whose radius is 14 cm is

(a)

22 cm

(b)

44 cm

(c)

66 cm

(d)

88 cm

13. Two angles of a triangle are 40° and 60°, then the third angle is

(a)

20o

(b)

40o

(c)

60o

(d)

80o

14. In $\triangle$ABC, BC is produced to D and <ABC = 50o, <ACD = 105o, then <BAC will be equal to

(a)

75o

(b)

15o

(c)

40o

(d)

55o

15. The mode of 3, 4, 7, 4, 3, 2, 4 is

(a)

3

(b)

4

(c)

7

(d)

2

16. II. Answer the following questions

15 x 2 = 30
17. Write the algebraic expressions for the following:
Sum of numbers m and n decreased by their product.

18. Solve 3p + 4 = 25

19. Solve 5x + 3 = 18

20. Express 0.567 as a percent

21. Express $\frac { 1 }{ 4 }$% as a fraction

22. Find the value of $\frac { 1 }{ 2 }$% of 200.

23. Find the value of: 45% of 80m

24. Find out the circumference of a circle whose diameter is 21 cm.

25. A goat is tethered by a rope 3.5 m long. Find the maximum area that the goat can graze.

26. The circumference of a circular park is 176 m. Find the area of the park.

27. In the given figure find the values of x and y.

28. Find the value of the unknown x in the following diagrams:

29. Construct a triangle PQR given that PQ = 4 cm, QR = 6.5 cm and $\angle$PQR = 60°.

30. The mean price of 5 pens is Rs.75. What is the total cost of 5 pens?

31. Find the median of the first 5 prime numbers

32. III. Answer any five in detail

5 x 3 =15
33. Solve :
x-5=7

34. Solve:
3x-14=x-8

35. Convert the given fractions to percents $\frac { 20 }{ 20 }$

36. Find the S.I and amount on Rs 12,000 from May 21st1999 to August 2nd 1999 at
9 % per annum.

37. Find the area of the circles whose diameters are given below:
6.3 m

38. Find the value of the unknown x in the following diagrams:

39. The marks in mathematics of 10 students are 56, 48, 58, 60, 54, 76, 84, 92, 82, 98. Find the range and arithmetic mean