Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd December 1997

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/11. Work out r.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 15 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
4
Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 5.

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