Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th February 2008

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

1
Surds3 marks
Expand and simplify (9 + sqrt(6))(9 - sqrt(6)).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 15, 27, 45. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 35. Work out y when x = 9.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 9 cm and an area of 20.25 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 7/15. Work out r.

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