Daily Practice

Higher Plus

2nd August 1987

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

1
Bounds3 marks
x = 149 and y = 62, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Write 4/(x + 6) + 6/(x - 6) as a single fraction.
3
Velocity Time Graphs2 marks
A train slows steadily from 27 m/s to rest in 8 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 7 cm and 15 cm with an angle of 51° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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