Daily Practice

Higher Plus

22nd March 1971

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 1.5, one 10 units wide with density 3. How many values in total?
2
Bounds3 marks
A block has mass 630 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 4) with x(0) = 3. Work out x(1) to 3 decimal places.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 128. Work out the positive value of x when y = 648.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 7 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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