Daily Practice · Higher Plus
February 2001 - Higher Plus 5-a-day
Every Higher Plus sheet published in February 2001, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' February 2001 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2001Simplify sqrt(48) + sqrt(3), giving your answer in the form a sqrt(b).
- 2nd February 2001The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
- 3rd February 2001y is inversely proportional to x^2. When x = 5, y = 9. Work out y when x = 3.
- 4th February 2001The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.
- 5th February 2001A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/33. Work out r.
- 6th February 2001On 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?
- 7th February 2001A rectangle is 6 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 8th February 2001A quadratic sequence starts -1, 3, 11, 23. Work out the second difference, and the coefficient of n^2.
- 9th February 2001y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.
- 10th February 2001In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
- 11th February 2001The probability of winning a game is 1/5. A player expects 11 wins. How many games did they play?
- 12th February 2001A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 3.5. How many values in total?
- 13th February 2001Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).
- 14th February 2001Solve x^2 + 7x + 10 < 0.
- 15th February 2001y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 16.
- 16th February 2001In a vector proof you find that vector PQ = 3a - 2b and vector RS = 12a - 8b. What does this show about PQ and RS?
- 17th February 2001A bag holds 4 red and n blue counters. The probability of taking a red is 4/11. Work out n.
- 18th February 2001On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 19th February 2001A block has mass 670 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 20th February 2001Write x^2 + 8x + 14 in the form (x + a)^2 + b.
- 21st February 2001A train slows steadily from 23 m/s to rest in 5 seconds. Work out its deceleration.
- 22nd February 2001A cuboid measures 8 cm by 13 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 23rd February 2001A bag holds 5 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 24th February 2001A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 0.8. How many values in total?
- 25th February 2001x = 36 and y = 18, each correct to the nearest whole number. Work out the upper bound of x - y.
- 26th February 2001Work out the coordinates of the turning point of y = x^2 + 14x + 13.
- 27th February 2001y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.
- 28th February 2001A cuboid measures 14 cm by 12 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.