Daily Practice

Higher Plus

6th September 1970

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

1
Bounds3 marks
x = 41 and y = 16, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 3x - 1 and g(x) = 4x + 7. Work out fg(2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 14. Work out y when x = 25.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 11 cm and an area of 61.92 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.

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