Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th September 2023
- 1Proof3 marks
Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 252. Work out the positive value of x when y = 448.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 3 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 4Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 5Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 20 units wide with density 3. How many values in total?
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