Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

12th February 2002

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

1
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/7. Work out n.
2
Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).
4
Completing the Square3 marks
Write x^2 - 6x + 2 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.

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