Daily Practice

Higher Plus

5th April 1966

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 25 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
3
Inverse and Composite Functions3 marks
f(x) = 2x + 6 and g(x) = 6x - 5. Work out fg(1).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 9 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 two angles at the circumference stand on the same arc. State the reason being quoted.

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