Daily Practice

Higher Plus

19th December 1981

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A car covers 740 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Proof2 marks
In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 10 cm, 9 cm and 15 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 2/5. Work out n.

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