Daily Practice

Higher Plus

2nd August 1957

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 5 units wide with density 3.5. How many values in total?
2
Surds3 marks
Rationalise the denominator of 55/sqrt(11), giving your answer in its simplest form.
3
Proof3 marks
Prove that the sum of 4 consecutive integers is always a multiple of 2. 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 2 m/s to 12 m/s over 5 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 4 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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