Daily Practice

Higher Plus

17th December 1963

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 5) with x(0) = 1. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 16 m/s over 10 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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