Daily Practice

Higher Plus

12th April 1982

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

1
Bounds3 marks
A block has mass 390 g (to the nearest 10 g) and volume 6 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Algebraic Fractions3 marks
Write 4/(x - 4) + 2/(x - 2) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 12. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of p and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 9 wins. How many games did they play?

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