Daily Practice

Higher Plus

2nd October 1957

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

1
Bounds3 marks
A rectangle is 20 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x + 17 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 13 m/s to rest in 4 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 67°, 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 10 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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