Daily Practice

Higher Plus

4th April 1989

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 1.5, one 5 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (6 + sqrt(3))(6 - sqrt(3)).
3
Algebraic Fractions3 marks
Simplify (x^2 + 3x - 28)/(x - 4).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 52 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 two tangents are drawn to a circle from the same external point. State the reason being quoted.

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