Daily Practice

Higher Plus

14th July 1987

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
3
Quadratic Inequalities3 marks
Solve x^2 + 6x + 8 < 0.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 14 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
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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