Daily Practice

Higher Plus

30th October 1979

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 0.4, one 25 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
3
Factorising Harder Quadratics3 marks
Solve 3x^2 + 13x - 30 = 0.
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 = 3a - 6b and vector RS = 15a - 30b. What does this show about PQ and RS?

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