Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th September 2015

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

1
Surds3 marks
Simplify sqrt(75) + sqrt(108), giving your answer in the form a sqrt(b).
2
Quadratic Inequalities3 marks
Solve x^2 - 11x + 18 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 18. Work out y when x = 9.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 12 cm and an area of 54.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.

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