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. Integration is the reverse process of

DifferentiationFactorisingMultiplicationSimplifying

2. The normal distribution curve is

Symmetric and bell-shapedSkewed to the rightMade of straight linesFlat and uniform

3. Which type of graph does y = x squared produce?

A straight lineA hyperbolaA parabolaA circle

4. Solve simultaneously: x + y = 10 and x - y = 4. What is x?

7364

5. In a normal distribution, the mean, median and mode are

Unrelated to each otherAll equalAlways differentThe mean is always largest

6. What is the common ratio of the geometric sequence 3, 6, 12, 24?

1.5234

7. A bag has 3 red and 5 blue marbles. One marble is drawn at random. What is the probability it is red?

5/81/33/83/5

8. Solve simultaneously: 3x + 2y = 16 and x = y + 2. What is y?

2164

9. The quadratic x squared - 4x + 5 = 0 has b squared - 4ac = -4. What does this tell you about the roots?

Two different real rootsOne repeated real rootNo real roots, the graph does not cross the x-axisTwo rational roots

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

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

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