Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th July 2018

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

1
Surds3 marks
Simplify sqrt(27) + sqrt(108), giving your answer in the form a sqrt(b).
2
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 4 = y(x + 4).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 7 cm and an area of 24.50 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 28/55. Work out r.

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