Daily Practice

Higher Plus

5th April 1973

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

1
Surds3 marks
Simplify sqrt(45) + sqrt(5), giving your answer in the form a sqrt(b).
2
Completing the Square3 marks
Write x^2 - 16x + 7 in the form (x + a)^2 + b.
3
Velocity Time Graphs2 marks
A train slows steadily from 21 m/s to rest in 4 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides 4 cm, 8 cm and 8 cm. Work out the angle opposite the 4 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/15. Work out n.

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