Daily Practice

Higher Plus

12th December 1980

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

1
Surds3 marks
Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 6) with x(0) = 3. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 19 m/s to rest in 4 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 14 cm and 8 cm and an area of 39.60 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) = 10/21. Work out r.

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