Daily Practice · Higher Plus
November 1971 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1971 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1971
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1971Work out the coordinates of the turning point of y = x^2 + 2x - 2.
- 2nd November 1971A train slows steadily from 27 m/s to rest in 5 seconds. Work out its deceleration.
- 3rd November 1971A cuboid measures 8 cm by 13 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 4th November 1971A bag holds 5 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 5th November 1971A histogram has two bars: one 5 units wide with frequency density 1.2, one 20 units wide with density 0.8. How many values in total?
- 6th November 1971A car covers 420 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 7th November 1971Simplify (x^2 + 3x - 40)/(x + 8).
- 8th November 1971y is inversely proportional to x^2. When x = 3, y = 25. Work out y when x = 5.
- 9th November 1971The 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.
- 10th November 1971A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 11th November 1971On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 12th November 1971Rationalise the denominator of 88/sqrt(11), giving your answer in its simplest form.
- 13th November 1971In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 4 in terms of an integer n?
- 14th November 1971y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 5.
- 15th November 1971In 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.
- 16th November 1971The probability of winning a game is 1/8. A player expects 4 wins. How many games did they play?
- 17th November 1971A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 0.8. How many values in total?
- 18th November 1971Simplify sqrt(8) + sqrt(72), giving your answer in the form a sqrt(b).
- 19th November 1971Make x the subject of 8x + 6 = y(x + 6).
- 20th November 1971y is directly proportional to sqrt(x). When x = 49, y = 63. Work out y when x = 25.
- 21st November 1971In a vector proof you find that vector PQ = a + b and vector RS = 3a + 3b. What does this show about PQ and RS?
- 22nd November 1971A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.
- 23rd November 1971On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 24th November 1971A rectangle is 11 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 25th November 1971Write 3/(x - 5) + 4/(x + 1) as a single fraction.
- 26th November 1971A train slows steadily from 32 m/s to rest in 4 seconds. Work out its deceleration.
- 27th November 1971A cuboid measures 7 cm by 8 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 28th November 1971A bag holds 8 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 29th November 1971A histogram has two bars: one 20 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?
- 30th November 1971Expand and simplify (5 + sqrt(3))(5 - sqrt(3)).