Daily Practice

Higher Plus

23rd May 1981

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

1
Bounds3 marks
A car covers 300 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Algebraic Fractions3 marks
Simplify (x^2 - 9x + 14)/(x - 2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 16. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 9 cm, 11 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/8. Work out n.

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