Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 Is 17 + 23 odd or even?
Show worked solution
Odd + odd = Even. (The total is 40.)
2 The numbers 5, 8, 11 and 14 are added. Write how many of them are odd, and whether the total is odd or even (type odd or even).
Show worked solution
5 and 11 are odd, so 2 of them. An even count of odd numbers gives an even total.
3 What is the last digit of 34 × 26?
Show worked solution
4 × 6 = 24, so the last digit is 4.
Level 2 · Core
4 Which of these products is even?
Show worked solution
9 × 11 × 12 — the 12 is even, so the product is even. Every factor in the others is odd.
5 Look at the number 5 130. Write the sum of its digits, and whether it is divisible by 9 (type yes or no).
Show worked solution
5 + 1 + 3 + 0 = 9, which is a multiple of 9, so yes.
6 How many of the numbers 5, 8, 11, 14, 17 and 20 are odd?
Show worked solution
5, 11 and 17 are odd, so 3 of them — an odd count, which means their total is odd.
Level 3 · Challenge
7 Consider the number 4 116.1 It is divisible by 3.
2 It is divisible by 4.
3 It is divisible by 9.
Which statements are correct?
2 It is divisible by 4.
3 It is divisible by 9.
Which statements are correct?
Show worked solution
4 + 1 + 1 + 6 = 12, a multiple of 3 (1 ✓) but not of 9 (3 ✗). The last two digits are 16, which is a multiple of 4 (2 ✓). 1 and 2.
8 A product is made from the numbers 3, 5, 6 and 7. Write the last digit of that product, and whether the product is odd or even (type odd or even).
Show worked solution
3 × 5 × 6 × 7 = 630, so the last digit is 0. The 6 makes it even, and a 5 times an even number always ends in 0.
9 What is the smallest whole number greater than 100 that is divisible by both 3 and 4?
Show worked solution
Divisible by 3 and 4 means divisible by 12. The multiples of 12 near 100 are 96 and 108, so 108.