Daily Practice

Higher Plus

29th August 1984

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

1
Bounds3 marks
A rectangle is 24 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.
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 = 2, y = 24. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 10 wins. How many games did they play?

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