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

7659

2. What does the derivative of a function represent?

The gradient of the function at a pointThe area under the curveThe y-interceptThe maximum value of the function

3. Two fair coins are tossed. What is the probability of getting two heads?

1/21/41/33/4

4. What is log base 10 of 100?

2101001

5. Integrate: the integral of x squared dx

2x, plus c3x, plus cx cubed, plus cx cubed over 3, plus c

6. Solve for x: 2 to the power x = 32

64516

7. The sine rule states that in any triangle, a over sin A = b over sin B =

c over sin Cc times sin Cc over cos Csin C over c

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

1/33/83/55/8

9. Find the sum of the first 5 terms of the geometric series 2, 6, 18, 54, ... (common ratio 3)

242240244121

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

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

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