Daily Practice

Higher Plus

25th October 1957

5 questions · 15 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 2.5, one 25 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 44/sqrt(11), giving your answer in its simplest form.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 9) with x(0) = 1. Work out x(1) to 3 decimal places.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 32. Work out the positive value of x when y = 648.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 3b and vector RS = 10a + 6b. What does this show about PQ and RS?

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