Daily Practice · Higher Plus
November 1960 5-a-day
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The batch download puts all 5 tiers' November 1960 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1960
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1960A bag holds 5 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2nd November 1960A histogram has two bars: one 5 units wide with frequency density 2, one 10 units wide with density 3.5. How many values in total?
- 3rd November 1960Simplify sqrt(48) + sqrt(48), giving your answer in the form a sqrt(b).
- 4th November 1960Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
- 5th November 1960y is directly proportional to sqrt(x). When x = 25, y = 40. Work out y when x = 9.
- 6th November 1960The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
- 7th November 1960A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 2/7. Work out r.
- 8th November 1960On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 9th November 1960A rectangle is 20 cm by 25 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 10th November 1960f(x) = 5x + 2 and g(x) = 5x - 5. Work out fg(6).
- 11th November 1960A train slows steadily from 12 m/s to rest in 8 seconds. Work out its deceleration.
- 12th November 1960In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.
- 13th November 1960The probability of winning a game is 1/2. A player expects 10 wins. How many games did they play?
- 14th November 1960A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 3.5. How many values in total?
- 15th November 1960Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
- 16th November 1960The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
- 17th November 1960y is inversely proportional to x^2. When x = 3, y = 16. Work out y when x = 4.
- 18th November 1960In a vector proof you find that vector PQ = 6a - 3b and vector RS = 18a - 9b. What does this show about PQ and RS?
- 19th November 1960A bag holds 2 red and n blue counters. The probability of taking a red is 2/5. Work out n.
- 20th November 1960On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 21st November 1960A block has mass 540 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 22nd November 1960A quadratic sequence starts 4, 13, 28, 49. Work out the second difference, and the coefficient of n^2.
- 23rd November 1960y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 3.
- 24th November 1960A cuboid measures 14 cm by 6 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 25th November 1960A bag holds 4 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 26th November 1960A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 0.6. How many values in total?
- 27th November 1960x = 132 and y = 58, each correct to the nearest whole number. Work out the upper bound of x - y.
- 28th November 1960Solve x^2 + 3x + 2 > 0.
- 29th November 1960y is directly proportional to sqrt(x). When x = 4, y = 4. Work out y when x = 25.
- 30th November 1960A cuboid measures 8 cm by 10 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.