Daily Practice · Higher Plus
October 1964 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1964 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1964Simplify sqrt(12) + sqrt(147), giving your answer in the form a sqrt(b).
- 2nd October 1964Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 3rd October 1964y is inversely proportional to x^2. When x = 4, y = 50. Work out y when x = 5.
- 4th October 1964A cuboid measures 12 cm by 13 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 5th October 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?
- 6th October 1964On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 7th October 1964A rectangle is 10 cm by 21 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 8th October 1964f(x) = 4x + 7 and g(x) = 3x + 5. Work out fg(-2).
- 9th October 1964y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.
- 10th October 1964A cuboid measures 13 cm by 5 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 11th October 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?
- 12th October 1964A histogram has two bars: one 5 units wide with frequency density 0.4, one 20 units wide with density 0.8. How many values in total?
- 13th October 1964Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).
- 14th October 1964The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.
- 15th October 1964y is directly proportional to sqrt(x). When x = 4, y = 12. Work out y when x = 49.
- 16th October 1964The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
- 17th October 1964A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 2/11. Work out r.
- 18th October 1964On 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?
- 19th October 1964A block has mass 840 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 20th October 1964A quadratic sequence starts 10, 25, 46, 73. Work out the second difference, and the coefficient of n^2.
- 21st October 1964A train slows steadily from 30 m/s to rest in 4 seconds. Work out its deceleration.
- 22nd October 1964In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
- 23rd October 1964The probability of winning a game is 3/4. A player expects 15 wins. How many games did they play?
- 24th October 1964A histogram has two bars: one 20 units wide with frequency density 2.5, one 20 units wide with density 3. How many values in total?
- 25th October 1964x = 181 and y = 70, each correct to the nearest whole number. Work out the upper bound of x - y.
- 26th October 1964Solve x^2 - 8x + 15 < 0.
- 27th October 1964y is inversely proportional to x^2. When x = 4, y = 8. Work out y when x = 2.
- 28th October 1964In a vector proof you find that vector PQ = 3a - 3b and vector RS = 12a - 12b. What does this show about PQ and RS?
- 29th October 1964A bag holds 2 red and n blue counters. The probability of taking a red is 2/5. Work out n.
- 30th October 1964On 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?
- 31st October 1964A car covers 810 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.