Daily Practice

Higher Plus

24th August 1985

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

1
Bounds3 marks
A car covers 700 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
Factorising Harder Quadratics3 marks
Solve 6x^2 + 25x + 25 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of q and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 11 wins. How many games did they play?

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