Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd February 2018

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 20. Work out the positive value of x when y = 245.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 15 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/13. Work out n.
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 0.6. How many values in total?

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