Daily Practice

Higher Plus

10th January 1987

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

1
Bounds3 marks
A car covers 390 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Algebraic Fractions3 marks
Write 2/(x - 5) + 7/(x + 3) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 7 cm and an area of 28.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.

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