Daily Practice

Higher Plus

17th January 1958

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 10 units wide with density 1.4. How many values in total?
2
Surds3 marks
Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.
3
Factorising Harder Quadratics3 marks
Solve 12x^2 - 5x - 25 = 0.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 45 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 a tangent meets a radius at the point of contact. State the reason being quoted.

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