Daily Practice · Higher Plus
November 1974 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1974 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1974
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1974A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 0.6. How many values in total?
- 2nd November 1974A car covers 330 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.
- 3rd November 1974The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 4th November 1974y is directly proportional to sqrt(x). When x = 4, y = 6. Work out y when x = 64.
- 5th November 1974In a vector proof you find that vector PQ = 3a + 4b and vector RS = 12a + 16b. What does this show about PQ and RS?
- 6th November 1974A bag holds 8 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 7th November 1974On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 8th November 1974Rationalise the denominator of 4/sqrt(2), giving your answer in its simplest form.
- 9th November 1974A quadratic sequence starts 6, 23, 50, 87. Work out the second difference, and the coefficient of n^2.
- 10th November 1974A train slows steadily from 17 m/s to rest in 4 seconds. Work out its deceleration.
- 11th November 1974A cuboid measures 9 cm by 14 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 12th November 1974A bag holds 7 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 13th November 1974A histogram has two bars: one 10 units wide with frequency density 0.4, one 5 units wide with density 0.8. How many values in total?
- 14th November 1974Simplify sqrt(20) + sqrt(20), giving your answer in the form a sqrt(b).
- 15th November 1974Solve x^2 + 9x + 8 > 0.
- 16th November 1974y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 3.
- 17th November 1974A cuboid measures 4 cm by 10 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 18th November 1974A bag holds 5 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 19th November 1974On 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?
- 20th November 1974A rectangle is 26 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 21st November 1974Write x^2 + 6x + 15 in the form (x + a)^2 + b.
- 22nd November 1974y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.
- 23rd November 1974The 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.
- 24th November 1974A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 1/28. Work out r.
- 25th November 1974A histogram has two bars: one 20 units wide with frequency density 2, one 25 units wide with density 0.8. How many values in total?
- 26th November 1974Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
- 27th November 1974Work out the coordinates of the turning point of y = x^2 - 16x + 1.
- 28th November 1974y is directly proportional to sqrt(x). When x = 9, y = 27. Work out y when x = 36.
- 29th November 1974In 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.
- 30th November 1974The probability of winning a game is 3/5. A player expects 15 wins. How many games did they play?