Daily Practice

Higher Plus

15th April 1962

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

1
Bounds3 marks
x = 152 and y = 28, each correct to the nearest whole number. Work out the upper bound of x - y.
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 32 m/s to rest in 8 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 18 cm and 14 cm with an angle of 56° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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