Daily Practice

Higher Plus

2nd January 1987

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

1
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 2/3. Work out n.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 70 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 54/sqrt(6), giving your answer in its simplest form.
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 15, 33, 59. Work out the second difference, and the coefficient of n^2.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.

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