Daily Practice

Higher Plus

10th May 1973

5 questions · 13 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 2.5, one 10 units wide with density 1.4. How many values in total?
2
Surds3 marks
Simplify sqrt(27) + sqrt(75), giving your answer in the form a sqrt(b).
3
Proof2 marks
In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 60 m/s over 20 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 14 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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