Daily Practice · Higher Plus

Daily Practice - Higher Plus

6th September 1996

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 1.2, one 20 units wide with density 0.8. How many values in total?
2
Surds3 marks
Rationalise the denominator of 12/sqrt(3), giving your answer in its simplest form.
3
Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 19 m/s over 10 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 11 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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