Daily Practice

Higher Plus

22nd May 1955

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

1
Bounds3 marks
x = 189 and y = 173, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Completing the Square3 marks
Write x^2 - 8x - 10 in the form (x + a)^2 + b.
3
Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 10 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 7 cm and 12 cm with an angle of 126° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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