Section A
MCQs — 15 Questions
(+2 / -1)
1
counting
easy
What is the total number of hearts below?
Answer: C
Count the hearts by their triangular groupings and the base row. Adding them all together gives 53 hearts.
2
measurement
easy
Which of the following is the same as 2018 cm?
Answer: C
1 metre = 100 cm, so 2018 cm = 2000 cm + 18 cm = 20 metres + 18 cm = 20 metres and 18 centimetres.
3
data-analysis
easy
The table below shows the scores of Tiffany, Ursula, Vincent and Warren in the "Mathcraft Game". Who received the highest score?
Answer: D
Add each player's four round scores: Tiffany 7+56+8+43 = 114, Ursula 37+24+36+13 = 110, Vincent 27+41+23+21 = 112, Warren 27+38+23+27 = 115. Warren has the highest total (115).
4
logic
medium
Ducklings are walking in a queue when they are following the mother duck. Joey the duckling is the 6th from the front and 8th from the back (including the mother duck). Some of the ducklings from the end moved away from the queue making Joey the middle duckling in the queue. How many ducklings moved away from the queue?
Answer: A
Joey is 6th from the front, so 5 ducklings are ahead of him. He is 8th from the back, so 7 ducklings are behind him (total queue = 6 + 8 − 1 = 13). To make Joey the middle duckling, the number behind him must equal the 5 ahead of him. So 7 − 5 = 2 ducklings must move away from the end.
5
rate-problems
medium
George takes 4 minutes to go from the 1st floor to the 3rd floor. He just realized that he forgot his water bottle on the 5th floor. He is now on the 2nd floor. How long would it take him to get his water bottle?
Answer: C
Going from the 1st to the 3rd floor spans 2 floor-gaps in 4 minutes, so each gap takes 2 minutes. From the 2nd floor to the 5th floor is 3 gaps: 3 × 2 = 6 minutes.
6
sequences
medium
What is the next number below?
3, 5, 6, 10, 9, 15, 12, 20, …
Answer: B
Two sequences are interleaved. The odd-position terms are 3, 6, 9, 12, … (adding 3 each time) and the even-position terms are 5, 10, 15, 20, … (adding 5 each time). The next term is an odd-position term after 12, which is 12 + 3 = 15.
7
combinatorics
medium
Hansel wants to buy 2 dice of different colours. The available colours in a store are red, blue, green, yellow, pink and white. How many different combinations of 2 dice are there in the store? (Example: 1 combination is yellow and white.)
Answer: C
Choosing 2 different colours out of 6, where order does not matter, gives 6 × 5 ÷ 2 = 15 combinations.
8
number-theory
medium
A palindrome is a number that can be read the same forward and backward. For example, the numbers 99, 252 and 4884 are palindromes. How many 3-digit palindrome numbers are there?
Answer: C
A 3-digit palindrome has the form ABA. The first digit A can be 1–9 (9 choices, cannot be 0) and the middle digit B can be 0–9 (10 choices); the last digit must equal A. So there are 9 × 10 = 90 three-digit palindromes.
9
geometry
medium
Which of the following CANNOT form a rectangle?
Answer: E
Two identical right triangles join along their hypotenuse to form a rectangle; two or five identical squares line up in a row to form a rectangle; four identical right triangles also combine into a rectangle. But you cannot tile a rectangle with an odd number of identical triangles — the triangles must pair up, so five identical triangles cannot form a rectangle.
10
spatial-reasoning
medium
Find the correct shadow of the animals shown below.
Options A–E are the silhouettes shown below the picture.
Answer: E
Compare each silhouette with the original picture: the horse's head faces left with its mane hanging down, the goat stands on the horse's back facing right, and the horse's bushy tail curves down on the right. Option E is the only silhouette whose horse, goat and tail all match the original outline — the others differ in the tail shape, the horse's head/ears, or the goat's position.