Daily Practice · Higher Plus

Daily Practice - Higher Plus

11th November 1995

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 1.5, one 25 units wide with density 1.4. How many values in total?
2
Bounds3 marks
A car covers 510 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Inverse and Composite Functions3 marks
f(x) = 6x + 1 and g(x) = 4x + 4. Work out fg(-3).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 80. Work out the positive value of x when y = 405.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 11 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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