Daily Practice

Higher Plus

23rd September 1986

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 10 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 6x + 11.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 72. Work out the positive value of x when y = 32.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 6b and vector RS = 12a + 24b. What does this show about PQ and RS?

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