Daily Practice

Higher Plus

25th September 1988

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

1
Bounds3 marks
x = 127 and y = 10, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 4x + 5. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 18 cm and 12 cm with an angle of 145° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 5 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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