Daily Practice

Higher Plus

18th September 1964

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 20 units wide with density 0.8. How many values in total?
2
Surds3 marks
Rationalise the denominator of 9/sqrt(3), giving your answer in its simplest form.
3
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 3 = y(x + 3).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 20. Work out the positive value of x when y = 245.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - 2b and vector RS = 25a - 10b. What does this show about PQ and RS?

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