Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

20th October 2000

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 4/11. Work out n.
2
Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
4
Algebraic Fractions3 marks
Write 3/(x + 4) + 6/(x + 1) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.

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