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📐 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. In the equation y = 2x + 5, what is the gradient?

0.5752

2. Expand: 3(x + 4)

x + 123x + 73x + 43x + 12

3. On a box plot, what does the whole length of the box and whiskers, from one end to the other, show?

The number of resultsThe mode of the dataThe average of the dataThe range of the data

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

Opposite over hypotenuseAdjacent over hypotenuseOpposite over adjacentHypotenuse over opposite

5. A right-angled triangle has shorter sides 6 cm and 8 cm. What is the hypotenuse?

10 cm7 cm14 cm48 cm

6. Which pair of values satisfies both x + y = 7 and x - y = 3?

x = 3, y = 4x = 6, y = 1x = 4, y = 3x = 5, y = 2

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

7.1 x 5^100.71 x 10^671 x 10^47.1 x 10^5

8. Simplify: (x^2)^3

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

9. Solve simultaneously: x + y = 10 and x - y = 2.

x = 6, y = 4x = 5, y = 5x = 4, y = 6x = 8, y = 2

10. A right-angled triangle has an opposite side of 6 cm and an adjacent side of 8 cm. Which calculation gives the angle?

tan^-1(6/8)tan^-1(8/6)cos^-1(6/8)sin^-1(6/8)

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