Daily Practice

Higher Plus

2nd February 1955

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 3.5. How many values in total?
2
Bounds3 marks
A rectangle is 10 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Inverse and Composite Functions3 marks
f(x) = 4x - 1 and g(x) = 3x - 8. Work out fg(1).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 17 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 a radius is drawn to the midpoint of a chord. State the reason being quoted.

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