Daily Practice

Higher Plus

30th April 1968

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).
3
Proof2 marks
In an algebraic proof, how would you write an odd number in terms of an integer n?
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 16. Work out the positive value of x when y = 16.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 2b and vector RS = 10a - 10b. What does this show about PQ and RS?

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