Logical Reasoning — Chapter Test | Class 7 IMO

Q1

Find the next number: 2, 6, 12, 20, ___ ?

Differences 4, 6, 8, then 10, so 20 + 10 = 30.

Q2

Complete the analogy: 5 : 25 :: 7 : ___ ?

Each number squared: 7² = 49.

Q3

Which is the odd one out: 11, 13, 15, 17?

15 = 3 × 5 is composite; the others are prime.

Q4

If each letter moves forward by 2, the code for CAT is ___ ?

C→E, A→C, T→V gives ECV.

Q5

If A = 1, B = 2, …, Z = 26, the value of the letter D is ___ ?

D is the 4th letter, so 4.

Q6

Facing North, you turn right and then right again. Which way do you face?

Two right turns from North face South.

Q7

In a 3×3 magic square using 1 to 9, each line sums to ___ ?

The magic sum is 15.

Q8

In a number pyramid, the bricks below are 3 and 4. The brick above is ___ ?

Each brick is the sum of the two below: 3 + 4 = 7.

Q9

Find the next number: 1, 1, 2, 3, 5, ___ ?

Each term is the sum of the two before: 3 + 5 = 8.

Q10

Complete the analogy: triangle : 3 :: pentagon : ___ ?

A pentagon has 5 sides.

Q11

A clock shows 3:00. What is the angle between the hands?

At 3:00 the hands are 90° apart.

Q12

Riya walks 4 km North, then 3 km further North. How far North is she from the start?

4 + 3 = 7 km North.

Q13

Find the next number: 3, 6, 11, 18, ___ ?

Differences 3, 5, 7, then 9, so 18 + 9 = 27.

Q14

In a 3×3 magic square using 1 to 9, what number is in the centre?

The centre of this magic square is always 5.