Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

30th December 2012

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

1
Bounds3 marks
x = 48 and y = 15, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Write 4/(x + 4) + 7/(x + 5) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 54. Work out y when x = 9.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = c. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of p and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 16 wins. How many games did they play?

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