Daily Practice · Higher Plus
May 1962 5-a-day
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The batch download puts all 5 tiers' May 1962 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1962
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1962A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 28/45. Work out r.
- 2nd May 1962On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 3rd May 1962Simplify sqrt(80) + sqrt(5), giving your answer in the form a sqrt(b).
- 4th May 1962Work out the coordinates of the turning point of y = x^2 + 14x - 14.
- 5th May 1962y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 5.
- 6th May 1962In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
- 7th May 1962The probability of winning a game is 3/5. A player expects 27 wins. How many games did they play?
- 8th May 1962A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 3. How many values in total?
- 9th May 1962A rectangle is 27 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 10th May 1962Simplify (x^2 + 6x - 16)/(x - 2).
- 11th May 1962y is directly proportional to sqrt(x). When x = 49, y = 49. Work out y when x = 81.
- 12th May 1962In a vector proof you find that vector PQ = 6a + 5b and vector RS = 18a + 15b. What does this show about PQ and RS?
- 13th May 1962A bag holds 5 red and n blue counters. The probability of taking a red is 5/12. Work out n.
- 14th May 1962On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 15th May 1962Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
- 16th May 1962In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
- 17th May 1962A train slows steadily from 33 m/s to rest in 5 seconds. Work out its deceleration.
- 18th May 1962A cuboid measures 15 cm by 12 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 19th May 1962A bag holds 9 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 20th May 1962A histogram has two bars: one 10 units wide with frequency density 0.4, one 20 units wide with density 0.8. How many values in total?
- 21st May 1962A block has mass 300 g (to the nearest 10 g) and volume 21 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 22nd May 1962Make x the subject of 4x + 4 = y(x + 4).
- 23rd May 1962y is inversely proportional to x^2. When x = 2, y = 100. Work out y when x = 5.
- 24th May 1962A cuboid measures 11 cm by 7 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 25th May 1962A bag holds 7 red, 5 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 26th May 1962On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 27th May 1962x = 159 and y = 103, each correct to the nearest whole number. Work out the upper bound of x - y.
- 28th May 1962Write 7/(x - 3) + 4/(x - 5) as a single fraction.
- 29th May 1962y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.
- 30th May 1962The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.
- 31st May 1962A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.