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 Simplify 16 : 24.
Show worked solution
÷8 → 2 : 3.
2 Simplify 300 g : 1.5 kg.
Show worked solution
300 : 1500 → 1 : 5.
3 Cordial : water = 1 : 4. How much water for 3 cups of cordial?
Show worked solution
×3 → 12 cups.
Level 2 · Core
4 Simplify 2.5 : 10.
Show worked solution
×2 → 5 : 20 → 1 : 4.
5 Share 72 in the ratio 5 : 4. What is the LARGER share?
Show worked solution
9 parts → 8 each → 5 × 8 = 40.
6 Share $210 in the ratio 1 : 2 : 4. What is the largest share?
Show worked solution
7 parts → $30 → 4 × 30 = $120.
Level 3 · Challenge
7 Boys : girls = 5 : 6, and there are 8 more girls than boys. How many students in total?
Show worked solution
Gap 1 part = 8 → 11 parts = 88.
8 A ratio 3 : 7 shares a sum so the larger part is $84. What is the total?
Show worked solution
7 parts = 84 → part = 12 → 10 parts = $120.
9 Simplify ⅔ : ¾.
Show worked solution
×12: 8 : 9 → 8 : 9.