Daily Practice · Higher Plus
May 1964 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1964 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1964In a vector proof you find that vector PQ = 6a + 2b and vector RS = 30a + 10b. What does this show about PQ and RS?
- 2nd May 1964A bag holds 3 red and n blue counters. The probability of taking a red is 3/8. Work out n.
- 3rd May 1964On 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?
- 4th May 1964A block has mass 400 g (to the nearest 10 g) and volume 13 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 5th May 1964Make x the subject of 6x + 3 = y(x + 3).
- 6th May 1964A train slows steadily from 17 m/s to rest in 5 seconds. Work out its deceleration.
- 7th May 1964A cuboid measures 11 cm by 15 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 8th May 1964A bag holds 6 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 9th May 1964A histogram has two bars: one 5 units wide with frequency density 1.5, one 5 units wide with density 3. How many values in total?
- 10th May 1964x = 56 and y = 9, each correct to the nearest whole number. Work out the upper bound of x - y.
- 11th May 1964Write 2/(x - 2) + 3/(x - 1) as a single fraction.
- 12th May 1964y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 2.
- 13th May 1964A cuboid measures 4 cm by 9 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 14th May 1964A bag holds 7 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 15th May 1964On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 16th May 1964A car covers 300 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 17th May 1964Solve 9x^2 - 3x - 20 = 0.
- 18th May 1964y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.
- 19th May 1964The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
- 20th May 1964A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/11. Work out r.
- 21st May 1964A histogram has two bars: one 5 units wide with frequency density 1.5, one 10 units wide with density 3.5. How many values in total?
- 22nd May 1964Rationalise the denominator of 56/sqrt(7), giving your answer in its simplest form.
- 23rd May 1964f(x) = 8x + 9. Work out the inverse function f^-1(x).
- 24th May 1964y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 36.
- 25th May 1964In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
- 26th May 1964The probability of winning a game is 1/5. A player expects 13 wins. How many games did they play?
- 27th May 1964On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 28th May 1964Simplify sqrt(45) + sqrt(80), giving your answer in the form a sqrt(b).
- 29th May 1964Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.
- 30th May 1964A train slows steadily from 39 m/s to rest in 5 seconds. Work out its deceleration.
- 31st May 1964In a vector proof you find that vector PQ = 2a - 2b and vector RS = 8a - 8b. What does this show about PQ and RS?