IMO Practice Test: Fractions on a Number Line | Class 3 Maths

Question 1 of 6 hard

How many sixths equal 2/3?

2/6

3/6

4/6

5/6

Explanation: 2/3 x (2/2) = 4/6.

Question 2 of 6 hard

Arrange from smallest to largest: 3/5, 1/2, 4/5, 1/4

1/4, 1/2, 3/5, 4/5

1/4, 3/5, 1/2, 4/5

1/2, 1/4, 3/5, 4/5

1/4, 1/2, 4/5, 3/5

Explanation: Convert to decimals: 1/4=0.25, 1/2=0.5, 3/5=0.6, 4/5=0.8. Order: 1/4, 1/2, 3/5, 4/5.

Question 3 of 6 hard

A pizza is cut into 8 slices. You eat 3 slices. Your friend eats 1/4 of the pizza. Who ate more?

You (3/8 = 0.375)

Friend (1/4 = 0.25)

Equal

Cannot tell

Explanation: You ate 3/8. Friend ate 1/4 = 2/8. 3/8 > 2/8, so you ate more.

Question 4 of 6 hard

Find the missing number: 2/3 = 8/___

9

10

12

16

Explanation: If numerator x4: 2x4=8. So denominator x4: 3x4=12. Answer: 8/12.

Question 5 of 6 hard

Which fraction is exactly halfway between 1/4 and 3/4?

1/3

1/2

2/4

Both B and C

Explanation: Halfway between 1/4 and 3/4 = (1/4 + 3/4)/2 = (4/4)/2 = 1/2. And 2/4 = 1/2. So both B and C are correct.

Question 6 of 6 hard

Is 3/4 equivalent to 9/12? Show by multiplying.

Yes, 3x3=9 and 4x3=12

No, different values

Yes, but by addition only

Cannot determine

Explanation: 3/4 x (3/3) = 9/12. Yes, they are equivalent because multiplying top and bottom by 3 gives 9/12.

IMO Practice Test — Fractions on a Number Line