Daily Practice

Higher Plus

17th February 1959

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 2.5, one 25 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (7 + sqrt(3))(7 - sqrt(3)).
3
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 7 = y(x + 7).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 45. Work out the positive value of x when y = 45.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - b and vector RS = 30a - 5b. What does this show about PQ and RS?

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