Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd August 2012

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

1
Surds3 marks
Simplify sqrt(20) + sqrt(245), giving your answer in the form a sqrt(b).
2
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 4.
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 3 : 1. Write vector OM in terms of q and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 10 wins. How many games did they play?

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