Daily Practice · Higher Plus
March 1964 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1964 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1964y is inversely proportional to x^2. When x = 3, y = 64. Work out y when x = 4.
- 2nd March 1964In a vector proof you find that vector PQ = 5a - 5b and vector RS = 10a - 10b. What does this show about PQ and RS?
- 3rd March 1964A bag holds 6 red and n blue counters. The probability of taking a red is 3/5. Work out n.
- 4th March 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?
- 5th March 1964Simplify sqrt(18) + sqrt(2), giving your answer in the form a sqrt(b).
- 6th March 1964The point (2, 1) lies on y = f(x). Write down its image on y = -f(x).
- 7th March 1964y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.
- 8th March 1964A cuboid measures 5 cm by 9 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 9th March 1964A bag holds 5 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 10th March 1964A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 0.6. How many values in total?
- 11th March 1964A rectangle is 17 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 12th March 1964Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 13th March 1964y is directly proportional to sqrt(x). When x = 49, y = 28. Work out y when x = 4.
- 14th March 1964A cuboid measures 7 cm by 13 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 15th March 1964A bag holds 4 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 16th March 1964On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 17th March 1964Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
- 18th March 1964f(x) = 3x + 9 and g(x) = 2x + 2. Work out fg(3).
- 19th March 1964A train slows steadily from 18 m/s to rest in 8 seconds. Work out its deceleration.
- 20th March 1964The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.
- 21st March 1964A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
- 22nd March 1964A histogram has two bars: one 10 units wide with frequency density 1.5, one 25 units wide with density 0.8. How many values in total?
- 23rd March 1964A block has mass 330 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 24th March 1964The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 25th March 1964y is inversely proportional to x^2. When x = 3, y = 72. Work out y when x = 6.
- 26th March 1964In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. State the reason being quoted.
- 27th March 1964The probability of winning a game is 3/10. A player expects 6 wins. How many games did they play?
- 28th March 1964On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 29th March 1964x = 44 and y = 24, each correct to the nearest whole number. Work out the upper bound of x - y.
- 30th March 1964A quadratic sequence starts 4, 10, 18, 28. Work out the second difference, and the coefficient of n^2.
- 31st March 1964y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 3.