Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th October 1999

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

1
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/2. Work out n.
2
Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
4
Inverse and Composite Functions3 marks
f(x) = 2x + 6 and g(x) = 5x - 7. Work out fg(6).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.

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