Daily Practice · Higher Plus

Daily Practice - Higher Plus

15th May 1995

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?
2
Bounds3 marks
A block has mass 380 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Completing the Square3 marks
Write x^2 + 14x + 14 in the form (x + a)^2 + b.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 10 m/s over 8 seconds. Work out the acceleration.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 15 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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