Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th August 2024
- 1Rearranging Harder Formulae3 marks
Make x the subject of 8x + 3 = y(x + 3).
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 288. Work out the positive value of x when y = 648.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 3 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 4Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 5Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 5 units wide with density 1.4. How many values in total?
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