Daily Practice

Higher Plus

9th February 1963

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

1
Bounds3 marks
A car covers 430 m (to the nearest 10 m) in 9 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 (1, 5) lies on y = f(x). Write down its image on y = f(x) - 5.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides of 12 cm and 10 cm with an angle of 63° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 5 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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