Daily Practice · Higher Plus
November 1969 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1969 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1969
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1969In a vector proof you find that vector PQ = 4a - 4b and vector RS = 20a - 20b. What does this show about PQ and RS?
- 2nd November 1969A bag holds 8 red and n blue counters. The probability of taking a red is 4/7. Work out n.
- 3rd November 1969A 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?
- 4th November 1969Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
- 5th November 1969Solve x^2 - 16 > 0.
- 6th November 1969y is directly proportional to sqrt(x). When x = 16, y = 28. Work out y when x = 36.
- 7th November 1969A cuboid measures 14 cm by 11 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 8th November 1969A bag holds 3 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 9th November 1969On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 10th November 1969A block has mass 310 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 11th November 1969Write x^2 - 10x - 7 in the form (x + a)^2 + b.
- 12th November 1969A train slows steadily from 37 m/s to rest in 5 seconds. Work out its deceleration.
- 13th November 1969A cuboid measures 7 cm by 12 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 14th November 1969A bag holds 3 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 15th November 1969A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 1.4. How many values in total?
- 16th November 1969x = 35 and y = 11, each correct to the nearest whole number. Work out the upper bound of x - y.
- 17th November 1969Work out the coordinates of the turning point of y = x^2 - 14x - 9.
- 18th November 1969y is inversely proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
- 19th November 1969The 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.
- 20th November 1969A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/3. Work out r.
- 21st November 1969On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 22nd November 1969A car covers 750 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 23rd November 1969Simplify (x^2 - 10x + 24)/(x - 4).
- 24th November 1969y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 2.
- 25th November 1969In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
- 26th November 1969The probability of winning a game is 1/2. A player expects 16 wins. How many games did they play?
- 27th November 1969A histogram has two bars: one 20 units wide with frequency density 1.5, one 10 units wide with density 0.8. How many values in total?
- 28th November 1969Rationalise the denominator of 110/sqrt(11), giving your answer in its simplest form.
- 29th November 1969In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 7 in terms of an integer n?
- 30th November 1969y is directly proportional to sqrt(x). When x = 25, y = 20. Work out y when x = 81.