Daily Practice

Higher Plus

1st May 1960

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

1
Bounds3 marks
x = 44 and y = 24, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 144. Work out y when x = 6.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 16 cm and an area of 55.43 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/22. Work out r.

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