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 Base 10 cm, height 4 cm. Area in cm2?
Show worked solution
½ × 10 × 4 = 20 cm2.
2 Base 7 cm, height 6 cm. Area in cm2?
Show worked solution
½ × 7 × 6 = 21 cm2.
3 Should an area be written in cm or cm2?
Show worked solution
cm2 — area always takes squared units.
Level 2 · Core
4 A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Area in cm2?
Show worked solution
½ × 9 × 12 = 54 cm2. The 15 cm is not used.
5 A triangle has area 36 cm2 and height 9 cm. Find its base, in cm.
Show worked solution
36 = 4.5b → b = 8 cm.
6 A triangle has base 30 cm and height 0.4 m. Area in cm2?
Show worked solution
0.4 m = 40 cm, so ½ × 30 × 40 = 600 cm2.
Level 3 · Challenge
7 A shape is a 14 cm by 6 cm rectangle with a triangle of base 14 cm and height 5 cm on top. Total area in cm2?
Show worked solution
Rectangle 84 + triangle 35 = 119 cm2.
8 A triangle has area 45 m2 and base 15 m. Find its height, in m.
Show worked solution
45 = 7.5h → h = 6 m.
9 A square of side 10 cm has a triangle of base 10 cm and height 4 cm cut out of it. Remaining area in cm2?
Show worked solution
Square 100 − triangle 20 = 80 cm2.