Daily Practice

Higher Plus

24th January 1972

5 questions · 12 marks · Grades 8-9 · 51 question types in this band

1
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 10, 19, 30, 43. Work out the second difference, and the coefficient of n^2.
2
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 30 m/s over 10 seconds. Work out the acceleration.
3
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.
4
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 1/55. Work out r.
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 0.8. How many values in total?

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