Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd November 2001

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

1
Surds3 marks
Simplify sqrt(80) + sqrt(80), giving your answer in the form a sqrt(b).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 5) with x(0) = 2. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 24. Work out y when x = 9.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 6 cm and 12 cm and an area of 18.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/28. Work out r.

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