Daily Practice

Higher Plus

25th November 1989

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

1
Bounds3 marks
A car covers 650 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 10, 23, 42, 67, ...
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 64. Work out y when x = 4.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 6 cm and an area of 19.09 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) = 1/66. Work out r.

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