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 Write 1/4 as a decimal. Does it terminate or recur?
Show worked solution
0.25 terminates — the remainder reaches 0.
2 Write 1/3 as a decimal, using … for the repeat. (as a decimal)
Show worked solution
0.333…, with a dot over the 3.
3 Is 7/25 terminating or recurring?
Show worked solution
25 = 5 × 5, only 5s, so it is terminating — it equals 0.28.
Level 2 · Core
4 Write 5/8 as a decimal.
Show worked solution
0.625, which terminates because 8 = 2 × 2 × 2.
5 Is 5/12 terminating or recurring?
Show worked solution
12 = 2 × 2 × 3, and that 3 is not allowed, so it is recurring — it equals 0.41666…
6 In 2/11 = 0.1818..., how many digits are in the repeating block?
Show worked solution
The block is 18, so 2 digits.
Level 3 · Challenge
7 Is 6/15 terminating or recurring? Simplify it first.
Show worked solution
6/15 = 2/5, and 5 is allowed, so it is terminating — it equals 0.4.
8 Round 4/15 to two decimal places.
Show worked solution
4 ÷ 15 = 0.2666…, and the third digit is 6, so it rounds up to 0.27.
9 Write 3/16 as a decimal.
Show worked solution
0.1875.