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

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📐 Maths, NCEA Levels 1 to 3

Years 11 to 13 · 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. The normal distribution curve is

Flat and uniformSkewed to the rightMade of straight linesSymmetric and bell-shaped

2. If f(x) = 2x + 1, what is f(3)?

7956

3. What is log base 10 of 100?

1102100

4. In any triangle, the three interior angles add up to

90 degrees180 degrees270 degrees360 degrees

5. Integrate: the integral of x squared dx

3x, plus cx cubed over 3, plus c2x, plus cx cubed, plus c

6. Use the quadratic formula to solve 2x squared - 5x - 3 = 0

x = 1.5 or x = 1x = 6 or x = -1x = 3 or x = -0.5x = 0.5 or x = -3

7. The graph of y = (x - 2) squared + 3 is the graph of y = x squared moved

2 left and 3 down2 right and 3 up2 left and 3 up2 right and 3 down

8. Factorise: x squared + 5x + 6

(x + 2)(x + 3)(x + 1)(x + 6)(x - 2)(x - 3)(x + 6)(x - 1)

9. A triangle has sides b = 7 and c = 8 with a 60 degree angle A between them. Using a squared = b squared + c squared - 2bc cos A, what is a squared?

5716985113

10. A curve has equation y = x cubed - 3x squared. At what x-value(s) is the gradient zero?

x = 0 or x = 2x = 2 onlyx = 0 onlyx = 0 or x = 3

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