Daily Practice · Higher Plus
November 1973 5-a-day
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The batch download puts all 5 tiers' November 1973 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1973
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1973Simplify sqrt(20) + sqrt(5), giving your answer in the form a sqrt(b).
- 2nd November 1973Make x the subject of 6x + 8 = y(x + 8).
- 3rd November 1973y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 2.
- 4th November 1973In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
- 5th November 1973The probability of winning a game is 3/5. A player expects 33 wins. How many games did they play?
- 6th November 1973A histogram has two bars: one 10 units wide with frequency density 0.4, one 25 units wide with density 1.4. How many values in total?
- 7th November 1973A rectangle is 11 cm by 24 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 8th November 1973Write 3/(x + 1) + 5/(x - 1) as a single fraction.
- 9th November 1973y is directly proportional to sqrt(x). When x = 25, y = 30. Work out y when x = 4.
- 10th November 1973In a vector proof you find that vector PQ = 3a + 5b and vector RS = 15a + 25b. What does this show about PQ and RS?
- 11th November 1973A bag holds 5 red and n blue counters. The probability of taking a red is 5/11. Work out n.
- 12th November 1973On 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?
- 13th November 1973Expand and simplify (5 + sqrt(6))(5 - sqrt(6)).
- 14th November 1973Solve 2x^2 - x - 10 = 0.
- 15th November 1973A train slows steadily from 38 m/s to rest in 10 seconds. Work out its deceleration.
- 16th November 1973A cuboid measures 15 cm by 4 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 17th November 1973A 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?
- 18th November 1973A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 1.4. How many values in total?
- 19th November 1973A block has mass 540 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.
- 20th November 1973f(x) = 2x - 1. Work out the inverse function f^-1(x).
- 21st November 1973y is inversely proportional to x^2. When x = 4, y = 12. Work out y when x = 2.
- 22nd November 1973A cuboid measures 11 cm by 11 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 23rd November 1973A bag holds 5 red, 7 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 24th November 1973On 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?
- 25th November 1973x = 140 and y = 116, each correct to the nearest whole number. Work out the upper bound of x - y.
- 26th November 1973Solve x^2 + y^2 = 100 and y = x + 2 simultaneously.
- 27th November 1973y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.
- 28th November 1973The 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.
- 29th November 1973A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/6. Work out r.
- 30th November 1973A histogram has two bars: one 10 units wide with frequency density 0.4, one 10 units wide with density 0.6. How many values in total?