Daily Practice

Higher Plus

16th February 1982

5 questions · 15 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 1.2, one 20 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 0, 8, 18, 30, ...
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 75. Work out the positive value of x when y = 48.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + 5b and vector RS = 10a + 25b. What does this show about PQ and RS?

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