Daily Practice

Higher Plus

8th March 1976

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

1
Bounds3 marks
A block has mass 700 g (to the nearest 10 g) and volume 16 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 289 and y = x - 7 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 15 cm and an area of 33.75 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.

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