Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd July 2012

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

1
Surds3 marks
Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 6) with x(0) = 5. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 48. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of q and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 6 wins. How many games did they play?

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