Daily Practice

Higher Plus

20th January 1984

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

1
Surds3 marks
Rationalise the denominator of 35/sqrt(7), giving your answer in its simplest form.
2
Transforming Graphs y=f(x)3 marks
The point (-2, 5) lies on y = f(x). Write down its image on y = f(x + 5).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 75. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 7 cm and 15 cm with an angle of 68° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 6 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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