Daily Practice

Higher Plus

19th February 1985

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

1
Surds3 marks
Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 4) with x(0) = 3. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 21. Work out y when x = 4.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 15 cm and an area of 71.45 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 7/15. Work out r.

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