Daily Practice

Higher Plus

5th November 1978

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

1
Bounds3 marks
x = 57 and y = 16, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Completing the Square3 marks
Write x^2 + 6x - 9 in the form (x + a)^2 + b.
3
Velocity Time Graphs2 marks
A train slows steadily from 40 m/s to rest in 5 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides 23 cm, 10 cm and 15 cm. Work out the angle opposite the 23 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/5. Work out n.

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