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 Each grid square is 1 cm². What is the area of the shaded shape, in cm²?
Show worked solution
5 whole squares + 2 halves = 6 cm².
2 A rectangle is 3 cm wide and 5 cm long. What is its area in cm²?
Show worked solution
3 × 5 = 15 cm².
3 A square has sides of 2 cm. Every side is doubled. What is the area of the new square in cm²?
Show worked solution
New side 4 cm: 4 × 4 = 16 cm² (four times the old 4 cm²).
Level 2 · Core
4 A jug holds 100 mL. Two identical blocks are dropped in and sink; the level rises to 150 mL. How many mL does ONE block raise the water?
Show worked solution
Rise 50 mL for 2 blocks → 25 mL each.
5 Square X is divided into 16 equal small squares. An identical square Y is divided into 4 equal triangles. How many small squares of X have the same area as ONE triangle of Y?
Show worked solution
16 ÷ 4 = 4 small squares per triangle.
6 Shape P covers 5 cm². Shape Q is an enlargement of P with every side three times as long. How much area does Q cover, in cm²?
Show worked solution
5 × 9 = 45 cm².
Level 3 · Challenge
7 A jug holds 200 mL. Three identical marbles raise the level to 260 mL. How many marbles IN TOTAL must be in the jug for the water to reach 400 mL?
Show worked solution
Each marble raises 20 mL. From 200 to 400 is 200 mL: 200 ÷ 20 = 10 marbles in total.
8 Two identical rectangles. The first is cut into 12 equal strips and 5 are shaded. The second is cut into 3 equal parts and 1 is shaded. In strips, how much MORE is shaded on the first rectangle than the second?
Show worked solution
One part of the second rectangle = 12 ÷ 3 = 4 strips. 5 − 4 = 1 strip more.
9 A 6 cm by 2 cm rectangle is cut in half along the dashed line, and the two pieces are joined so they touch at only one corner. What is the area of the new shape, in cm²?
Show worked solution
All 12 squares are still there: 12 cm². (The perimeter grows from 16 to 20, but area is unchanged.)