Daily Practice

Higher Plus

15th June 1980

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

1
Bounds3 marks
x = 133 and y = 121, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 3x + 8 and g(x) = 3x - 6. Work out fg(2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 14 cm and 14 cm and an area of 84.87 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.

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