Daily Practice

Higher Plus

23rd February 1959

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 1.5. How many more values are in the wider class?
2
Bounds3 marks
A block has mass 850 g (to the nearest 10 g) and volume 16 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Algebraic Fractions3 marks
Write 6/(x + 2) + 4/(x - 4) as a single fraction.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 16 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 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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