Daily Practice

Higher Plus

13th January 1991

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

1
Bounds3 marks
x = 90 and y = 9, 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 (5, 1) lies on y = f(x). Write down its image on y = f(x - 1).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 7 cm and 12 cm with an angle of 48° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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