Daily Practice

Higher Plus

31st March 1990

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

1
Bounds3 marks
A car covers 340 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
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 x^3. When x = 4, y = 128. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of p and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 18 wins. How many games did they play?

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