Daily Practice

Higher Plus

6th April 1991

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 20 units wide with density 3. How many values in total?
2
Bounds3 marks
A car covers 680 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Algebraic Fractions3 marks
Write 6/(x - 2) + 5/(x + 5) as a single fraction.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 72. Work out the positive value of x when y = 50.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 15 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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