Daily Practice · Higher Plus

Daily Practice - Higher Plus

30th July 1991

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

1
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 3, 5, 9, 15, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 10. Work out y when x = 36.
4
The Cosine Rule3 marks
A triangle has sides 14 cm, 15 cm and 12 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.

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