HAST Abstract Reasoning 3

Question 1

A sequence of 2D shapes: circle, square, triangle, circle, square, triangle. What is the 11th shape?

Accepted Answer

Circle

Answer

The pattern repeats every 3 shapes; 11 ÷ 3 = 3 remainder 2, but wait: position 1=circle, 2=square, 3=triangle; 11 mod 3 = 2, so position 11 = square — but 11 mod 3 = 2 which is square.

Question 2

Each figure in a row has one more line of symmetry than the previous. If the first figure has 1 line of symmetry, how many lines does the 4th figure have?

Accepted Answer

4

Answer

Starting at 1 and adding 1 each step: 1, 2, 3, 4 — the fourth figure has 4 lines of symmetry.

Question 3

Which transformation maps shape P onto shape Q if Q appears identical to P but shifted 3 units right and 2 units up?

Accepted Answer

Translation

Answer

A translation slides a figure in a direction without rotating or flipping it, which matches a shift right and up.

Question 4

In a pattern matrix, each row sums to 15 using the numbers 1–9 once each. Row 1: 2, 7, 6. Row 2: 9, 5, 1. What is row 3?

Accepted Answer

4, 3, 8

Answer

This is a magic square; the remaining numbers are 3, 4, 8 arranged so the row sums to 15: 4 + 3 + 8 = 15.

Question 5

A square is divided into 4 equal smaller squares. Three are shaded. What fraction of the large square is unshaded?

Accepted Answer

1/4

Answer

If 3 out of 4 equal parts are shaded, then 1 out of 4 parts is unshaded, giving a fraction of 1/4.

HAST - Higher Ability Selection Test Practice Test

HAST - Higher Ability Selection Test Practice Test

HAST Abstract Reasoning 3