Daily Practice

Higher Plus

2nd June 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 1.2, one 25 units wide with density 3.5. How many values in total?
2
Surds3 marks
Simplify sqrt(12) + sqrt(147), giving your answer in the form a sqrt(b).
3
Quadratic Inequalities3 marks
Solve x^2 - 12x + 27 < 0.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 10 m/s over 4 seconds. Work out the acceleration.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. State the reason being quoted.

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