Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th June 2005

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

1
Surds3 marks
Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.
2
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 7 = y(x + 7).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 42. Work out y when x = 9.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of a and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 40 wins. How many games did they play?

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