Daily Practice

Higher Plus

14th March 1961

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 20 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
3
Transforming Graphs y=f(x)3 marks
The point (0, -3) lies on y = f(x). Write down its image on y = f(-x).
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 15 cm by 8 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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