Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

13th January 1999

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

1
Bounds3 marks
A rectangle is 30 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Algebraic Fractions3 marks
Write 6/(x + 2) + 4/(x + 3) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 8. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of c and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 40 wins. How many games did they play?

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