Daily Practice

Higher Plus

8th July 1955

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, one 10 units wide with density 0.8. How many values in total?
2
Surds3 marks
Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Write 7/(x + 3) + 5/(x + 4) as a single fraction.
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 = 392.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 5b and vector RS = 6a - 10b. What does this show about PQ and RS?

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