Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd July 1998

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 1/4. Work out n.
2
Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 22/sqrt(2), giving your answer in its simplest form.
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 16x - 11.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.

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