Daily Practice

Higher Plus

4th February 1973

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

1
Bounds3 marks
x = 122 and y = 71, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 5x + 4. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 16 cm, 6 cm and 12 cm. Work out the angle opposite the 16 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 1/3. Work out n.

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