Daily Practice

Higher Plus

20th November 1975

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 0.4, one 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Simplify sqrt(72) + sqrt(8), giving your answer in the form a sqrt(b).
3
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 5 = y(x + 5).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 72.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - b and vector RS = 12a - 3b. What does this show about PQ and RS?

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