Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

6th February 2025

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 1.2, one 10 units wide with density 3.5. How many values in total?
2
Surds3 marks
Simplify sqrt(80) + sqrt(5), giving your answer in the form a sqrt(b).
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x - 14 simultaneously.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 180. Work out the positive value of x when y = 125.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 13 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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