Demo. An invented family, made-up minutes, nobody's real child. The quizzes work: pass a round and watch the clock change.

See it asPiperYear 10 RangiYear 7 NovaYear 3 📚 Learning by year

📐 Maths, Years 9 and 10

Years 9 to 10 · Read up first

10 questions. Get 8 right to earn 10 minutes. All 10 right = +5 bonus. They start easy and get harder as you go, so treat the first few as a warm-up. Every one you miss comes back with the answer and why.

1. Which equation correctly states Pythagoras' rule for a right-angled triangle with hypotenuse c and other sides a and b?

a^2 - b^2 = c^2a^2 + b^2 = c^2a + b = ca^2 x b^2 = c^2

2. Expand: 2(x - 5)

2x + 102x - 102x - 5x - 10

3. Expand: -2(x - 4)

2x - 8-2x + 8-2x - 8-2x + 4

4. In a right-angled triangle, which ratio is tan(angle)?

Adjacent over hypotenuseOpposite over hypotenuseHypotenuse over adjacentOpposite over adjacent

5. What is the volume of a cube with side length 5 cm?

125 cm^325 cm^375 cm^315 cm^3

6. Which of these is written correctly in standard form?

0.71 x 10^67.1 x 10^571 x 10^47.1 x 5^10

7. Simplify: (x^2)^3

x^2x^9x^5x^6

8. Write 0.006 in standard form.

6 x 10^-30.6 x 10^-26 x 10^-26 x 10^3

9. A number in standard form is 5 x 10^-2. What is it as an ordinary number?

0.0050.055000.5

10. A bag has 3 red balls and 2 blue balls, with no replacement. What is the probability of picking red then blue?

6/253/52/53/10

← back