Daily Practice

Higher Plus

18th January 1958

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

1
Bounds3 marks
A car covers 130 m (to the nearest 10 m) in 2 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 (11x(n) + 9) with x(0) = 1. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of p and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 70 wins. How many games did they play?

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