Daily Practice

Higher Plus

25th March 1975

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 13, 21, 31, 43. 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 = 18. Work out the positive value of x when y = 32.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - b and vector RS = 20a - 4b. What does this show about PQ and RS?

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