Daily Practice

Higher Plus

1st June 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 0.4, one 5 units wide with density 1.4. How many values in total?
2
Surds3 marks
Simplify sqrt(27) + sqrt(27), giving your answer in the form a sqrt(b).
3
Algebraic Fractions3 marks
Write 4/(x - 2) + 7/(x - 5) as a single fraction.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 31 m/s over 20 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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