Higher Plus
15th October 1952
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 0.8. How many values in total?
- 2Bounds3 marks
A rectangle is 20 cm by 10 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 4) with x(0) = 2. Work out x(1) to 3 decimal places.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 27 m/s over 10 seconds. Work out the acceleration.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
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