Daily Practice

Higher Plus

7th April 1991

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

1
Bounds3 marks
x = 88 and y = 65, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x - 14 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 8 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 71°, side a is 16 cm and side b is 14 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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