Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

16th February 2025

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 12 cm by 15 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
Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Bounds3 marks
x = 95 and y = 59, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Rearranging Harder Formulae3 marks
Make x the subject of 4x + 3 = y(x + 3).

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