Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

23rd March 2004

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 6, 19, 40, 69. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 27. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 16 cm, 10 cm and 15 cm. Work out the angle opposite the 16 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 7/10. Work out n.

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