Daily Practice

Higher Plus

30th September 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 0.4, one 10 units wide with density 1.4. How many values in total?
2
Surds3 marks
Rationalise the denominator of 110/sqrt(11), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Simplify (x^2 + 10x + 21)/(x + 7).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 12 m/s over 10 seconds. Work out the acceleration.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.

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