Daily Practice

Higher Plus

22nd March 1955

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 1.2, one 5 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (7 + sqrt(2))(7 - sqrt(2)).
3
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 2 = y(x + 2).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 7.5 m/s over 5 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 9 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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