Daily Practice

Higher Plus

27th April 1962

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 = 270.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 5.
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 2 : 1. Write vector ON in terms of m and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 4 wins. How many games did they play?

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