Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

25th January 2007

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

1
Surds3 marks
Simplify sqrt(12) + sqrt(27), giving your answer in the form a sqrt(b).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 10x - 2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 13 cm and an area of 22.75 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) = 5/14. Work out r.

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