Daily Practice

Higher Plus

7th August 1956

5 questions · 13 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 2.5, one 5 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (8 + sqrt(10))(8 - sqrt(10)).
3
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 9 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 5 m/s to 13 m/s over 4 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 8 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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