Daily Practice

Higher Plus

4th September 1985

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 1.2, one 5 units wide with density 3.5. How many values in total?
2
Bounds3 marks
A rectangle is 16 cm by 26 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Algebraic Fractions3 marks
Write 3/(x + 6) + 2/(x - 1) as a single fraction.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 75. Work out the positive value of x when y = 108.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 5 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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