Daily Practice · Higher Plus
May 1952 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1952 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1952
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1952Simplify sqrt(50) + sqrt(98), giving your answer in the form a sqrt(b).
- 2nd May 1952Make x the subject of 4x + 5 = y(x + 5).
- 3rd May 1952y is inversely proportional to x^2. When x = 3, y = 75. Work out y when x = 5.
- 4th May 1952In a vector proof you find that vector PQ = 2a - 6b and vector RS = 6a - 18b. What does this show about PQ and RS?
- 5th May 1952A bag holds 4 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 6th May 1952On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 7th May 1952A rectangle is 21 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 8th May 1952Write 7/(x - 4) + 7/(x + 5) as a single fraction.
- 9th May 1952y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.
- 10th May 1952A cuboid measures 5 cm by 13 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 11th May 1952A bag holds 10 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 12th May 1952A histogram has two bars: one 10 units wide with frequency density 0.4, one 25 units wide with density 0.6. How many values in total?
- 13th May 1952Expand and simplify (6 + sqrt(6))(6 - sqrt(6)).
- 14th May 1952Solve 10x^2 + 11x - 6 = 0.
- 15th May 1952y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 49.
- 16th May 1952A cuboid measures 7 cm by 4 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 17th May 1952A bag holds 3 red, 7 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 18th May 1952On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 19th May 1952A block has mass 520 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 20th May 1952f(x) = 8x - 8. Work out the inverse function f^-1(x).
- 21st May 1952A train slows steadily from 28 m/s to rest in 8 seconds. Work out its deceleration.
- 22nd May 1952The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
- 23rd May 1952A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/12. Work out r.
- 24th May 1952A histogram has two bars: one 20 units wide with frequency density 1.5, one 25 units wide with density 3.5. How many values in total?
- 25th May 1952x = 116 and y = 74, each correct to the nearest whole number. Work out the upper bound of x - y.
- 26th May 1952Solve x^2 + y^2 = 289 and y = x - 7 simultaneously.
- 27th May 1952y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
- 28th May 1952In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.
- 29th May 1952The probability of winning a game is 1/5. A player expects 12 wins. How many games did they play?
- 30th May 1952On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 31st May 1952A car covers 870 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.