Daily Practice

Higher Plus

11th April 1981

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A car covers 130 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
3
Velocity Time Graphs2 marks
A train slows steadily from 35 m/s to rest in 4 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 9 cm and an area of 42.87 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 7/12. Work out r.

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