Daily Practice

Higher Plus

10th July 1957

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

1
Bounds3 marks
A rectangle is 29 cm by 23 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 (5, -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 = 128. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 6 cm and 7 cm with an angle of 121° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 3 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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