Daily Practice

Higher Plus

1st August 1987

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 0.4, one 5 units wide with density 3. How many values in total?
2
Bounds3 marks
A car covers 450 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Algebraic Fractions3 marks
Simplify (x^2 + 7x + 6)/(x + 6).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 32. Work out the positive value of x when y = 162.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 12 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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