Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

20th October 2022

5 questions · 15 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 2.5, one 10 units wide with density 0.8. How many values in total?
2
Surds3 marks
Simplify sqrt(32) + sqrt(72), giving your answer in the form a sqrt(b).
3
Rearranging Harder Formulae3 marks
Make x the subject of 4x + 2 = y(x + 2).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 24. Work out the positive value of x when y = 294.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 11 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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