Daily Practice · Higher Plus

Daily Practice - Higher Plus

28th September 1991

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

1
Bounds3 marks
A car covers 400 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
Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 27. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 21 cm, 16 cm and 9 cm. Work out the angle opposite the 21 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 5/11. Work out n.

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