Daily Practice

Higher Plus

29th September 1978

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 0.8. How many values in total?
2
Surds3 marks
Rationalise the denominator of 24/sqrt(2), giving your answer in its simplest form.
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x + 17 simultaneously.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 8.5 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 the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.

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