Daily Practice

Higher Plus

18th April 1974

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

1
Surds3 marks
Simplify sqrt(32) + sqrt(98), giving your answer in the form a sqrt(b).
2
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 36. Work out y when x = 9.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 6 cm and an area of 31.82 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/45. Work out r.

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