Daily Practice · Higher Plus

Daily Practice - Higher Plus

24th July 1991

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

1
Bounds3 marks
A rectangle is 12 cm by 10 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 6) with x(0) = 3. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 22 wins. How many games did they play?

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