Daily Practice

Higher Plus

11th December 1987

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?
2
Surds3 marks
Rationalise the denominator of 16/sqrt(2), giving your answer in its simplest form.
3
Inverse and Composite Functions3 marks
f(x) = 5x - 7. Work out the inverse function f^-1(x).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 17 m/s over 5 seconds. Work out the acceleration.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.

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