Daily Practice

Higher Plus

20th April 1970

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 20 units wide with density 1.4. How many values in total?
2
Bounds3 marks
A block has mass 780 g (to the nearest 10 g) and volume 10 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 2 = y(x + 2).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 18. Work out the positive value of x when y = 18.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 2b and vector RS = 9a + 6b. What does this show about PQ and RS?

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