Daily Practice

Higher Plus

7th November 1981

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

1
Bounds3 marks
A car covers 770 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Inverse and Composite Functions3 marks
f(x) = 5x - 8 and g(x) = 2x - 6. Work out fg(6).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 49. Work out y when x = 81.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 7 cm and an area of 35.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 6/11. Work out r.

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