Daily Practice

Higher Plus

19th April 1977

5 questions · 14 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 10 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).
3
Algebraic Fractions3 marks
Write 4/(x + 3) + 2/(x - 6) as a single fraction.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 5 m/s over 8 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 6 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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