Daily Practice

Higher Plus

19th July 1985

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

1
Surds3 marks
Rationalise the denominator of 22/sqrt(2), giving your answer in its simplest form.
2
Completing the Square3 marks
Write x^2 + 8x - 2 in the form (x + a)^2 + b.
3
Velocity Time Graphs2 marks
A train slows steadily from 22 m/s to rest in 10 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 8 cm and an area of 28.28 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 2/7. Work out r.

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