Daily Practice · Higher Plus
November 1964 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1964 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1964Write x^2 + 14x - 12 in the form (x + a)^2 + b.
- 2nd November 1964y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.
- 3rd November 1964A cuboid measures 4 cm by 11 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 4th November 1964A bag holds 9 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 5th November 1964A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 1.4. How many values in total?
- 6th November 1964Rationalise the denominator of 40/sqrt(5), giving your answer in its simplest form.
- 7th November 1964Work out the coordinates of the turning point of y = x^2 - 8x - 2.
- 8th November 1964y is directly proportional to sqrt(x). When x = 25, y = 25. Work out y when x = 9.
- 9th November 1964A cuboid measures 11 cm by 13 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 10th November 1964A bag holds 7 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 11th November 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?
- 12th November 1964Simplify sqrt(8) + sqrt(2), giving your answer in the form a sqrt(b).
- 13th November 1964Simplify (x^2 + 12x + 32)/(x + 8).
- 14th November 1964A train slows steadily from 17 m/s to rest in 4 seconds. Work out its deceleration.
- 15th November 1964The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.
- 16th November 1964A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 17th November 1964A histogram has two bars: one 20 units wide with frequency density 2.5, one 10 units wide with density 3.5. How many values in total?
- 18th November 1964A rectangle is 6 cm by 14 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 19th November 1964In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
- 20th November 1964y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 3.
- 21st November 1964In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
- 22nd November 1964The probability of winning a game is 1/2. A player expects 10 wins. How many games did they play?
- 23rd November 1964On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 24th November 1964Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
- 25th November 1964Make x the subject of 3x + 6 = y(x + 6).
- 26th November 1964y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.
- 27th November 1964In a vector proof you find that vector PQ = a + b and vector RS = 5a + 5b. What does this show about PQ and RS?
- 28th November 1964A bag holds 3 red and n blue counters. The probability of taking a red is 3/5. Work out n.
- 29th November 1964A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 3. How many values in total?
- 30th November 1964A block has mass 310 g (to the nearest 10 g) and volume 10 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.