Daily Practice · Higher Plus

Daily Practice - Higher Plus

24th April 1992

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 3.5. How many values in total?
2
Surds3 marks
Rationalise the denominator of 18/sqrt(2), giving your answer in its simplest form.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 8x - 6.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 48. Work out the positive value of x when y = 27.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 3b and vector RS = 20a + 12b. What does this show about PQ and RS?

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