Daily Practice

Higher Plus

30th November 1973

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 0.4, one 10 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 66/sqrt(6), giving your answer in its simplest form.
3
Proof2 marks
In an algebraic proof, how would you write the square of 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 = 5, y = 75. Work out the positive value of x when y = 75.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 4b and vector RS = 5a + 20b. What does this show about PQ and RS?

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