Daily Practice · Higher Plus
November 1980 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1980 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1980Write 5/(x - 4) + 3/(x + 3) as a single fraction.
- 2nd November 1980A train slows steadily from 33 m/s to rest in 8 seconds. Work out its deceleration.
- 3rd November 1980In a vector proof you find that vector PQ = 2a + b and vector RS = 6a + 3b. What does this show about PQ and RS?
- 4th November 1980A bag holds 5 red and n blue counters. The probability of taking a red is 5/7. Work out n.
- 5th November 1980A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?
- 6th November 1980Simplify sqrt(20) + sqrt(20), giving your answer in the form a sqrt(b).
- 7th November 1980Solve 20x^2 + 49x + 30 = 0.
- 8th November 1980y is inversely proportional to x^2. When x = 2, y = 18. Work out y when x = 3.
- 9th November 1980A cuboid measures 15 cm by 10 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 10th November 1980A bag holds 4 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 11th November 1980On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 12th November 1980A rectangle is 18 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 13th November 1980f(x) = 4x + 5. Work out the inverse function f^-1(x).
- 14th November 1980y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 5.
- 15th November 1980A cuboid measures 14 cm by 5 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 16th November 1980A bag holds 7 red, 3 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 17th November 1980A histogram has two bars: one 10 units wide with frequency density 0.4, one 20 units wide with density 0.6. How many values in total?
- 18th November 1980Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).
- 19th November 1980Solve x^2 + y^2 = 289 and y = x - 7 simultaneously.
- 20th November 1980y is directly proportional to sqrt(x). When x = 16, y = 24. Work out y when x = 49.
- 21st November 1980The 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.
- 22nd November 1980A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/3. Work out r.
- 23rd November 1980On 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?
- 24th November 1980A block has mass 790 g (to the nearest 10 g) and volume 21 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 25th November 1980Use the iteration x(n+1) = cube root of (2x(n) + 2) with x(0) = 2. Work out x(1) to 3 decimal places.
- 26th November 1980A train slows steadily from 29 m/s to rest in 4 seconds. Work out its deceleration.
- 27th November 1980In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.
- 28th November 1980The probability of winning a game is 4/5. A player expects 48 wins. How many games did they play?
- 29th November 1980A histogram has two bars: one 20 units wide with frequency density 2, one 25 units wide with density 1.4. How many values in total?
- 30th November 1980x = 199 and y = 76, each correct to the nearest whole number. Work out the upper bound of x - y.