Daily Practice

Higher Plus

7th May 1983

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

1
Bounds3 marks
A car covers 680 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
Algebraic Fractions3 marks
Simplify (x^2 + 3x - 18)/(x + 6).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of p and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 8 wins. How many games did they play?

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