Daily Practice · Higher Plus

Daily Practice - Higher Plus

23rd August 1991

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

1
Surds3 marks
Rationalise the denominator of 84/sqrt(7), giving your answer in its simplest form.
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 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 18. Work out y when x = 9.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = p. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of c and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 8 wins. How many games did they play?

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