Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th October 1998

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

1
Surds3 marks
Simplify sqrt(18) + sqrt(2), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 3x + 3. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of q and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 28 wins. How many games did they play?

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