Daily Practice

Higher Plus

24th October 1980

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 1.4. How many values in total?
2
Surds3 marks
Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 8, 29, 60, 101. Work out the second difference, and the coefficient of n^2.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 288.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - 2b and vector RS = 15a - 6b. What does this show about PQ and RS?

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