Daily Practice

Higher Plus

5th November 1986

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

1
Bounds3 marks
A rectangle is 13 cm by 22 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Transforming Graphs y=f(x)3 marks
The point (4, -5) lies on y = f(x). Write down its image on y = f(x - 4).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 81.
4
The Cosine Rule3 marks
A triangle has sides of 12 cm and 5 cm with an angle of 49° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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