Daily Practice

Higher Plus

23rd July 1959

5 questions · 14 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 2, one 5 units wide with density 1.4. How many values in total?
2
Surds3 marks
Simplify sqrt(27) + sqrt(3), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 3x + 1 and g(x) = 3x - 3. Work out fg(6).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 37 m/s over 10 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 6 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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