Practice questions

Four examples with solutions, separate from the test.

01 · pattern

What comes after 17?

Look for two alternating operations.

51091817?
  1. 32
  2. 33
  3. 34
  4. 36
Show solution

Answer: 34. Alternate multiplying by two and subtracting one: 5×2=10, 10−1=9, 9×2=18, 18−1=17. Next is 17×2=34.

02 · logic

Which conclusion follows?

Use only these facts.

All blue tiles are square.
No square tile has a dot.
  1. Every square tile is blue.
  2. No blue tile has a dot.
  3. Every dotted tile is blue.
  4. Some blue tiles have dots.
Show solution

Answer: No blue tile has a dot.. Every blue tile is square, and all square tiles lack dots. Therefore no blue tile has a dot. Nothing says that every square tile has to be blue.

03 · spatial

Reflect the marked grid

Mirror the grid left to right.

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Answer: Top middle, top right, centre. A left-to-right reflection swaps the left and right columns. Top left becomes top right. Top middle and centre stay in place because they lie on the mirror line.

04 · numerical

How much do five tickets cost?

Every ticket costs the same amount.

Three tickets cost $18.
  1. $24
  2. $27
  3. $30
  4. $36
Show solution

Answer: $30. One ticket costs $18÷3=$6. Five tickets therefore cost 5×$6=$30. Work out the price of one ticket first, then multiply.