Daily Practice

Higher Plus

27th December 1959

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

1
Bounds3 marks
x = 90 and y = 49, 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 = 289 and y = x - 7 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 33 m/s to rest in 8 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 14 cm and 17 cm with an angle of 120° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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