Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

13th April 2020

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 4 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/7. Work out n.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?
4
Bounds3 marks
A block has mass 850 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 23, 39, 59. Work out the second difference, and the coefficient of n^2.

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