Daily Practice

Higher Plus

25th August 1962

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

1
Bounds3 marks
A car covers 400 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Completing the Square3 marks
Write x^2 + 16x + 5 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = b. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of q and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 6 wins. How many games did they play?

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