Daily Practice

Higher Plus

9th April 1972

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 0.6. How many values in total?
2
Bounds3 marks
x = 155 and y = 67, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Algebraic Fractions3 marks
Write 7/(x - 4) + 2/(x + 3) as a single fraction.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 125. Work out the positive value of x when y = 180.
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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