Daily Practice

Higher Plus

28th April 1963

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

1
Bounds3 marks
x = 51 and y = 8, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 2x - 6. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 16. Work out y when x = 16.
4
The Cosine Rule3 marks
A triangle has sides 9 cm, 7 cm and 10 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/7. Work out n.

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