Daily Practice

Higher Plus

6th May 1982

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(48) + sqrt(27), giving your answer in the form a sqrt(b).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (7x(n) + 8) with x(0) = 2. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 4. Work out y when x = 2.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 12 cm and an area of 67.88 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.

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