Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th October 2021

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

1
Surds3 marks
Simplify sqrt(20) + sqrt(45), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 2x + 7 and g(x) = 5x + 8. Work out fg(2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = c. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of m and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 88 wins. How many games did they play?

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