Daily Practice

Higher Plus

14th April 1985

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

1
Bounds3 marks
x = 132 and y = 49, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 6x - 4.
3
Velocity Time Graphs2 marks
A train slows steadily from 28 m/s to rest in 5 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 17 cm and 16 cm with an angle of 68° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 3 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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