Daily Practice

Higher Plus

30th April 1991

5 questions · 15 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 25 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (7 + sqrt(6))(7 - sqrt(6)).
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 6) 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 = 3, y = 36. Work out the positive value of x when y = 16.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + 2b and vector RS = 20a + 10b. What does this show about PQ and RS?

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