Daily Practice · Higher Plus

Daily Practice - Higher Plus

30th June 1993

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 5 units wide with density 3.5. How many values in total?
2
Bounds3 marks
A rectangle is 10 cm by 10 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Algebraic Fractions3 marks
Write 3/(x - 3) + 7/(x - 1) as a single fraction.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 180. Work out the positive value of x when y = 245.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 4 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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