Daily Practice

Higher Plus

2nd June 1987

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 10 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 7) with x(0) = 4. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 34 m/s over 10 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 10 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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