Daily Practice

Higher Plus

7th January 1960

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 1.5, one 20 units wide with density 0.8. How many values in total?
2
Surds3 marks
Simplify sqrt(75) + sqrt(147), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 3x - 9. Work out the inverse function f^-1(x).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 20 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 triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.

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