Daily Practice · Higher Plus

Daily Practice - Higher Plus

13th October 1995

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

1
Surds3 marks
Rationalise the denominator of 63/sqrt(7), giving your answer in its simplest form.
2
Transforming Graphs y=f(x)3 marks
The point (1, 3) 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 sqrt(x). When x = 16, y = 16. Work out y when x = 4.
4
The Sine Rule3 marks
In triangle ABC, angle A is 39°, side a is 10 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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