Daily Practice

Higher Plus

18th May 1982

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

1
Surds3 marks
Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
2
Transforming Graphs y=f(x)3 marks
The point (1, -4) 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 = 25, y = 35. Work out y when x = 64.
4
The Cosine Rule3 marks
A triangle has sides 13 cm, 7 cm and 12 cm. Work out the angle opposite the 13 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.

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