Daily Practice

Higher Plus

19th October 1965

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 2, one 5 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).
3
Algebraic Fractions3 marks
Simplify (x^2 + 11x + 30)/(x + 5).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 24 m/s over 8 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 12 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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