📘 Half Yearly Exam – Mathematics Practice Paper (Set 2)
Instructions: Solve each question step by step. Don’t look at answers before solving. Click the Show Answer button to check your solution.
Question 1
a) Find the greatest number that divides 84, 210 and 252 exactly.
HCF of 84, 210, 252 = 42
b) The sum of two numbers is 1,25,000. If one number is 87,435, find the other number.
1,25,000 – 87,435 = 37,565
c) Ramesh had 3½ m cloth. He used 1¾ m for making a kurta. How much cloth is left?
3½ – 1¾ = 7/2 – 7/4 = (14–7)/4 = 7/4 = 1¾ m
Question 2
a) Arrange in ascending order: –12, 8, –4, 0, 5, –9
–12, –9, –4, 0, 5, 8
b) Subtract 6543.75 – 4328.96
6543.75 – 4328.96 = 2214.79
c) Find 125% of 480.
(125/100) × 480 = 600
Question 3
a) One van can carry 348 boxes. How many boxes can 2,456 vans carry?
348 × 2456 = 8,54,688 boxes
b) The product of two numbers is 960. If their LCM is 120, find their HCF.
HCF = 960 ÷ 120 = 8
c) Multiply: 4 1/2 × 3 2/3 × 5/9
9/2 × 11/3 × 5/9 = 55/18 ≈ 3 1/18
Question 4
a) Solve: 5 1/4 ÷ 3 1/2
21/4 ÷ 7/2 = 21/4 × 2/7 = 42/28 = 3/2 = 1½
b) Write integers lying between –10 and 4.
–9, –8, –7, –6, –5, –4, –3, –2, –1, 0, 1, 2, 3
c) Cost of 1 chair = ₹375. Find the cost of 128 chairs.
375 × 128 = ₹48,000
Question 5
a) Solve: (– 325) + (– 178)
= –503
b) Out of 80 students, 35% are girls. Find the number of girls.
(35/100) × 80 = 28 girls
c) The cost of 180 bags = ₹2,16,000. Find cost of 1 bag.
2,16,000 ÷ 180 = ₹1,200 per bag
Question 6
a) A boy scored 42 out of 50 in Science and 64 out of 80 in Maths. In which subject was his performance better?
Science = 42/50 × 100 = 84%
Maths = 64/80 × 100 = 80%
Performance in Science is better by 4%.
Maths = 64/80 × 100 = 80%
Performance in Science is better by 4%.
b) The product of two fractions is 35/72. If one fraction is 7/12, find the other.
= (35/72) ÷ (7/12) = 35/72 × 12/7 = 5/6
Question 7
a) Construct an angle of 75° with a protractor.
Use protractor to mark 75° from base line and draw angle.
b) Draw a circle of radius 3.5 cm.
Use compass set at 3.5 cm and draw circle.
c) A car covers 456 km in 12 hours. How much distance in 1 hour?
456 ÷ 12 = 38 km per hour
Question 8
a) Find the LCM of 96, 144, 180 using division method.
LCM = 2880
b) Out of 1200 seats in an auditorium, 780 were occupied. Find % of unoccupied seats.
Unoccupied = 1200 – 780 = 420
(420 ÷ 1200) × 100 = 35%
(420 ÷ 1200) × 100 = 35%
