Daily Practice · Higher Plus
January 1964 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1964 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1964y is directly proportional to sqrt(x). When x = 49, y = 63. Work out y when x = 4.
- 2nd January 1964In a vector proof you find that vector PQ = 2a + b and vector RS = 8a + 4b. What does this show about PQ and RS?
- 3rd January 1964A bag holds 7 red and n blue counters. The probability of taking a red is 7/10. Work out n.
- 4th January 1964On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 5th January 1964x = 60 and y = 16, each correct to the nearest whole number. Work out the upper bound of x - y.
- 6th January 1964Work out the coordinates of the turning point of y = x^2 - 10x + 13.
- 7th January 1964A train slows steadily from 39 m/s to rest in 10 seconds. Work out its deceleration.
- 8th January 1964A cuboid measures 12 cm by 15 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 9th January 1964A bag holds 7 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 10th January 1964A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 3.5. How many values in total?
- 11th January 1964A car covers 200 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.
- 12th January 1964Simplify (x^2 + 15x + 56)/(x + 7).
- 13th January 1964y is inversely proportional to x^2. When x = 3, y = 16. Work out y when x = 4.
- 14th January 1964A cuboid measures 11 cm by 5 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 15th January 1964A bag holds 5 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 16th January 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?
- 17th January 1964Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.
- 18th January 1964In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
- 19th January 1964y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
- 20th January 1964The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
- 21st January 1964A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 1/55. Work out r.
- 22nd January 1964A histogram has two bars: one 5 units wide with frequency density 1.5, one 10 units wide with density 3. How many values in total?
- 23rd January 1964Simplify sqrt(12) + sqrt(3), giving your answer in the form a sqrt(b).
- 24th January 1964Make x the subject of 7x + 7 = y(x + 7).
- 25th January 1964y is directly proportional to sqrt(x). When x = 25, y = 10. Work out y when x = 49.
- 26th January 1964In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
- 27th January 1964The probability of winning a game is 1/5. A player expects 24 wins. How many games did they play?
- 28th January 1964On 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?
- 29th January 1964A rectangle is 24 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 30th January 1964Write 6/(x - 2) + 4/(x - 6) as a single fraction.
- 31st January 1964A train slows steadily from 31 m/s to rest in 4 seconds. Work out its deceleration.