Daily Practice

Higher Plus

30th July 1984

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

1
Bounds3 marks
A block has mass 700 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 6) with x(0) = 3. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 108. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = c. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of m and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 30 wins. How many games did they play?

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