CLASS : 7 (SYLLABUS & SAMPLE QUESTIONS)
Number System and Its Operations, Fractions and Decimals, Rational Numbers, Exponents & powers, Algebraic
Expression, Linear Equation, Percentage, Profit and Loss, Simple and Compound Interest
Data Handling, Mensuration, Line, Angles and Triangles, Ratio and Proportion, Applied Mathematics,
Mathematical Reasoning.
The Actual Question Paper Contains 40 Questions. The Duration of the Test Paper is 60 Minutes.
1. The solution of the equation 2(3x - 7) +
4(3x + 2) = 6(5x + 9) + 3 is:
(A) a natural number
(B) 0
(C) an integer
(D) a rational number
(E) None of these
2. Find the ratio among the time taken by
three buses to travel the same distance if
the ratio of their speeds are 5 : 4 : 6.
(A) 10 : 15 : 12 (B) 12 : 15 : 10
(C) 10 : 12 : 15 (D) 15 : 12 : 10
(E) None of these
3. The present ages of Peter & Jony are in
the ratio of 4 : 3, four years later, their
ages will be in the ratio of 6 : 5. What is
their present ages?
(A) 8 and 9 years
(B) 6 and 9 years
(C) 8 and 6 years
(D) 5 and 9 years
(E) None of these
4. Find the value of ‘a’ in the following figure
(A)
(C)
(E)
50°
(B) 55°
60°
(D) 45°
None of these
5. The compound interest on a sum for 2
years at 12% per annum is Rs. 510. What
would the simple interest on the same
sum at the same rate for the same period.
(A) Rs. 400
(B) Rs. 450
(C) Rs. 460
(D) Rs. 481.13
(E) None of these
6. Find the perimeter of the following figure
which is a semicircle including its
diameter. (Take
)
(A)
(C)
25 m
25.7 m
(B) 20 m
(D) 20.7 m
7. Micheal bought a car for Rs 80,000. He
spent Rs 8,000 on repairs and spent Rs
1,500 on other things. If he sold the car
for Rs 1,20,000, then the nearest gain %
will be :
(A) 30.08%
(B) 32.2%
(C) 34.07%
(D) 35%
(E) None of these
8. Steve travels from Sanghai to Beijing by
his car in 2 hours, if he reduces the speed
of his car by 30km/hr, then he takes 3.2
hours to cover the same distance. Find
the distance between the two towns.
(A) 160 km
(B) 120 km
(C) 140 km
(D) 180 km
(E) None of these
9. Radii of two concentric circles are 4 cm
and 3 cm respectively. F ind the area
enclosed between two circles.
(A) 98 cm2
(B) 199 cm2
(C) 22 cm2
(D) 99 cm2
(E) None of these
10. Sofia started walking straight towards
South. She walked a distance of 15 m and
then took a left turn and walked a
distance of 30 m. Then she took a right
turn and walked a distance of 15 m again.
Sofia is facing in which direction?
(A) North - East (B) South
(C) North
(D) South - West
(E) None of these
11. Find the number at the place of question
mark.
(A)
(C)
(E)
72
(B) 70
68
(D) 66
None of these
12. Find the value of x so that 22x+1 = 42x -1.
(A)
3
2
(B)
1
(C)
2
(D)
1
2
(E)
None of these
13. The graph given below represents the
population (in lakhs) of some cities.
Which city has minimum population?
(A)
(C)
(E)
A
(B) B
C
(D) D
None of these
14. Find the supplement of an angle which is
8 times of its complement.
(A) 90°
(B) 100°
(C) 80°
(D) 70°
(E) None of these
15. In a certain year, the population of
London is 200000 if it increases at the rate
of 6.5% per annum, then what will be its
population after 2 years?
(A) 226845
(B) 228645
(C) 224685
(D) 228465
(E) None of these
ANSWERS
1.
9.
(D) 2. (B) 3. (C) 4. (A) 5. (D) 6. (C) 7. (C) 8.
(C) 10. (B) 11. (B) 12. (A) 13. (D) 14. (B) 15. (A)
(A)