Daily Practice

Higher Plus

5th April 1981

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

1
Bounds3 marks
x = 98 and y = 85, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Transforming Graphs y=f(x)3 marks
The point (3, 6) lies on y = f(x). Write down its image on y = f(x + 6).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 8. Work out y when x = 64.
4
The Cosine Rule3 marks
A triangle has sides of 15 cm and 9 cm with an angle of 76° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 4 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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