Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

29th October 2001

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

1
Bounds3 marks
A block has mass 540 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Algebraic Fractions3 marks
Write 2/(x + 2) + 3/(x - 6) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 36. Work out y when x = 9.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. X is the midpoint. Write vector OX in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 10 wins. How many games did they play?

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