Daily Practice · Higher Plus
May 1960 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1960 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1960
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1960x = 44 and y = 24, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2nd May 1960A quadratic sequence starts -1, 10, 29, 56. Work out the second difference, and the coefficient of n^2.
- 3rd May 1960A train slows steadily from 34 m/s to rest in 4 seconds. Work out its deceleration.
- 4th May 1960A cuboid measures 11 cm by 10 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 5th May 1960A bag holds 3 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 6th May 1960A histogram has two bars: one 10 units wide with frequency density 1.2, one 20 units wide with density 1.4. How many values in total?
- 7th May 1960A car covers 140 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.
- 8th May 1960Solve x^2 + 4x - 12 > 0.
- 9th May 1960y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 2.
- 10th May 1960The 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.
- 11th May 1960A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/15. Work out r.
- 12th May 1960On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 13th May 1960Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.
- 14th May 1960Write x^2 - 10x - 3 in the form (x + a)^2 + b.
- 15th May 1960y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 4.
- 16th May 1960In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
- 17th May 1960The probability of winning a game is 3/5. A player expects 36 wins. How many games did they play?
- 18th May 1960A histogram has two bars: one 5 units wide with frequency density 0.4, one 20 units wide with density 3. How many values in total?
- 19th May 1960Simplify sqrt(50) + sqrt(72), giving your answer in the form a sqrt(b).
- 20th May 1960Work out the coordinates of the turning point of y = x^2 + 12x + 15.
- 21st May 1960y is directly proportional to sqrt(x). When x = 9, y = 9. Work out y when x = 25.
- 22nd May 1960In a vector proof you find that vector PQ = 4a - 4b and vector RS = 20a - 20b. What does this show about PQ and RS?
- 23rd May 1960A bag holds 3 red and n blue counters. The probability of taking a red is 3/11. Work out n.
- 24th May 1960On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 25th May 1960A rectangle is 9 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 26th May 1960Simplify (x^2 - 8x + 15)/(x - 3).
- 27th May 1960A train slows steadily from 18 m/s to rest in 4 seconds. Work out its deceleration.
- 28th May 1960A cuboid measures 14 cm by 7 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 29th May 1960A bag holds 6 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 30th May 1960A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 1.4. How many values in total?
- 31st May 1960Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).