Daily Practice

Higher Plus

9th July 1988

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A car covers 740 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Transforming Graphs y=f(x)3 marks
The point (4, 2) lies on y = f(x). Write down its image on y = f(x) + 1.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 18. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of b and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 28 wins. How many games did they play?

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