Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th May 2005

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

1
Surds3 marks
Simplify sqrt(32) + sqrt(32), giving your answer in the form a sqrt(b).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 12, 27, 48, 75. 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 = 5, y = 32. Work out y when x = 4.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 11 cm and an area of 52.39 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.

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