Daily Practice

Higher Plus

12th November 1989

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Bounds3 marks
x = 118 and y = 103, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Algebraic Fractions3 marks
Write 5/(x + 1) + 4/(x + 2) as a single fraction.
4
Velocity Time Graphs3 marks
A tram runs at 6 m/s for 30 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 5 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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