Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

24th October 2002

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(80) + sqrt(125), giving your answer in the form a sqrt(b).
2
Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 25.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of q and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 20 wins. How many games did they play?

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