Daily Practice

Higher Plus

23rd August 1985

5 questions · 12 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 1.5, one 20 units wide with density 1.4. How many values in total?
2
Surds3 marks
Rationalise the denominator of 4/sqrt(2), giving your answer in its simplest form.
3
Proof2 marks
In an algebraic proof, how would you write a multiple of 4 in terms of an integer n?
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 22 m/s over 8 seconds. Work out the acceleration.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.

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