Daily Practice · Higher Plus

Daily Practice - Higher Plus

2nd November 1992

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 3. How many values in total?
2
Bounds3 marks
A block has mass 780 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Quadratic Inequalities3 marks
Solve x^2 - 6x + 8 < 0.
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 = 200.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 9 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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