Daily Practice

Higher Plus

28th October 1967

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

1
Bounds3 marks
A car covers 800 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 7) with x(0) = 5. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 72. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of b and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 10 wins. How many games did they play?

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