Class 7 – Mathematics Question Paper
Time: 3 Hours Maximum Marks: 80
Section A – MCQs (1 × 10 = 10 Marks)
Choose the correct option:
1. The value of (–8) + 5 is:
a) 13
b) –3
c) 3
d) –13
2. The reciprocal of 5/7 is:
a) 7/5
b) –7/5
c) 5/7
d) 1/5
3. 0.375 as a fraction is:
a) 3/8
b) 375/100
c) 5/8
d) 7/8
4. If 3x + 5 = 20, then x =
a) 3
b) 5
c) 10
d) 15
5. Like terms in algebraic expressions have same:
a) Coefficient
b) Variable
c) Exponent of variables
d) Both variable and exponent
6. 20% of 150 is:
a) 25
b) 30
c) 35
d) 40
7. If CP = ₹200 and SP = ₹250, then profit =
a) ₹40
b) ₹50
c) ₹60
d) ₹70
8. The simple interest on ₹1000 at 5% for 2 years is:
a) ₹50
b) ₹100
c) ₹150
d) ₹200
9. The mean of 4, 6, 8 is:
a) 5
b) 6
c) 7
d) 8
10. Probability of getting head when tossing a fair coin is:
a) 0
b) 1
c) 1/2
d) 2
Section B – Fill in the Blanks (1 × 10 = 10 Marks)
1. The additive inverse of –9 is ________.
2. 3/4 × 2/5 = ________.
3. 5.6 ÷ 10 = ________.
4. In 7a + 3b, the coefficient of a is ________.
5. If 2x = 18, then x = ________.
6. 25% = ________ (in fraction form).
7. Profit = SP – ________.
8. SI = (P × R × T) / ________.
9. The median is the ________ value of arranged data.
10. Probability always lies between ________ and ________.
Section C – Very Short Answer Questions (2 × 5 = 10 Marks)
1. Subtract: (–12) – (–5)
2. Convert 0.45 into fraction in simplest form.
3. Solve: x – 7 = 15
4. Find 15% of 200.
5. Find the mode of: 2, 5, 3, 5, 8, 5, 1
Section D – Short Answer Questions (3 × 5 = 15 Marks)
1. Add: 5/6 + 7/9
2. Simplify: 3x + 5x – 2x
3. The ratio of boys to girls in a class is 4 : 3. If boys are 28, find number of girls using unitary method.
4. Find the simple interest on ₹5000 at 6% per annum for 3 years.
5. Find the area of a rectangle of length 15 m and breadth 8 m.
Section E – Long Answer Questions (5 × 4 = 20 Marks)
1. A shopkeeper buys a bicycle for ₹4500 and sells it for ₹5000.
(a) Find the profit.
(b) Find the profit percentage.
2. Solve:
3x + 7 = 25
3. The following data shows marks of students:
45, 50, 55, 60, 65
(a) Find mean
(b) Find median
4. A cuboid has length 10 cm, breadth 6 cm, height 5 cm.
Find:
(a) Surface area
(b) Volume
Section F – Constructions (2 × 5 = 10 Marks)
1. Construct a triangle ABC with AB = 6 cm, BC = 5 cm, CA = 7 cm.
2. Draw a line segment of 8 cm and construct its perpendicular bisector.
Section G – HOTS (1 × 5 = 5 Marks)
1. A bag contains 5 red balls, 3 blue balls and 2 green balls.
One ball is drawn at random.
(a) Find the probability of getting a red ball.
(b) If one red ball is removed, how does the probability change? Explain.
