Daily Practice · Higher
November 2007 - Higher 5-a-day
Every Higher sheet published in November 2007, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2007 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2007
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 20071 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd November 2007A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 3rd November 2007Work out 25^(3/2).
- 4th November 2007Expand and simplify (x - 1)(x + 3)(x + 3).
- 5th November 2007A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 6th November 2007A cone has base radius 6 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 7th November 200716 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th November 2007A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 9th November 2007Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 10th November 2007Make x the subject of y = 5x^2 - 5.
- 11th November 2007y is inversely proportional to x. When x = 4, y = 10. Work out y when x = 2.
- 12th November 2007In triangle ABC, angle A is 77°, angle B is 47° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th November 20072 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th November 2007Four classes in order have frequencies 9, 12, 4, 11. Write down the cumulative frequency at the end of the third class.
- 15th November 2007A meal deal has 4 mains, 8 sides and 5 drinks. How many different meals are possible?
- 16th November 2007Factorise x^2 - 16.
- 17th November 2007y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 2.
- 18th November 2007A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 19th November 200731 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th November 200740 beetles are marked and released. Later 42 are caught, of which 7 are marked. Estimate the population.
- 21st November 2007A mass is 9.2 kg, correct to 1 decimal place. Write down the upper bound.
- 22nd November 2007A region is defined by y <= -x - 2. Should the boundary line be solid or dashed, and why?
- 23rd November 2007y is directly proportional to x. When x = 9, y = 36. Work out y when x = 6.
- 24th November 2007The point (5, 5) is enlarged by scale factor -3 about the centre (4, 1). Write down the coordinates of the image.
- 25th November 20072 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th November 2007A cumulative frequency graph is drawn for 96 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th November 2007Write 6^-2 as a fraction.
- 28th November 2007Factorise x^2 - 14x + 48.
- 29th November 2007A town's population is 22000 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 30th November 2007Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 112 cm^3. Work out the volume of the smaller.