Higher Plus
14th September 1958
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 1.4. How many values in total?
- 2Bounds3 marks
x = 34 and y = 21, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 15 m/s over 4 seconds. Work out the acceleration.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
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