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Attnom Academy assessment paper, Level 3

Mathematics, about class 6

  • Time: 60 minutes
  • 40 marks
  • 22 questions

This paper tests only the chapters below. Read them first. Each question names its chapter in the mark scheme, so a lost mark tells you what to read again.

Name: ______________________________ Date: ______________

Section A. Quick recall (12 marks)

Tick one answer for each question. Each question is worth 1 mark.

Question 11 mark

Which list puts −4, 1, −6 and 0 in order, smallest first?

  1. A−4, −6, 0, 1
  2. B−6, −4, 0, 1
  3. C1, 0, −4, −6
  4. D0, 1, −4, −6

Question 21 mark

What is −6 × −3?

  1. A−18
  2. B−9
  3. C9
  4. D18

Question 31 mark

Which calculation has the same answer as 15 × 18?

  1. A30 × 9
  2. B30 × 36
  3. C15 × 9
  4. D17 × 20

Question 41 mark

What is 6 × 347?

  1. A1 882
  2. B4 282
  3. C2 082
  4. D182 442

Question 51 mark

What is 18/30 in simplest form?

  1. A9/15
  2. B6/10
  3. C3/5

Question 61 mark

What is 1/4 + 2/5?

  1. A3/9
  2. B13/20
  3. C3/20
  4. D2/20

Question 71 mark

A class has 14 girls and 21 boys. What is the ratio of girls to boys in simplest form?

  1. A3 : 2
  2. B14 : 35
  3. C14 : 21
  4. D2 : 3

Question 81 mark

Sand and cement are mixed in the ratio 5 : 2. What fraction of the mix is cement?

  1. A2/7
  2. B2/5
  3. C5/7

Question 91 mark

Three straight paths meet at a well, making three angles round it. Two of the angles are 150° and 95°. What is the third?

  1. A245°
  2. B115°
  3. C105°

Question 101 mark

A transversal crosses two parallel lines. One angle is 74°. Angle x is its corresponding angle. What is x?

  1. A106°
  2. B16°
  3. C74°

Question 111 mark

A bag of flour has a mass of 1 750 g. What is its mass in kilograms?

  1. A17.5 kg
  2. B175 kg
  3. C1 750 000 kg
  4. D1.75 kg

Question 121 mark

40 children chose their favourite fruit. 10 chose mango. What is the angle of the mango sector in a pie chart?

  1. A90°
  2. B10°
  3. C40°
  4. D25°

Section B. Worked problems (20 marks)

Show your working. Write the answer with its unit. The marks for each question are shown beside it.

Question 132 marks

Before dawn it is −7 °C. By noon it is 6 °C. How many degrees did the temperature rise?

Question 142 marks

A farm packs 1 248 eggs a day. How many eggs does it pack in 7 days?

Question 153 marks

Take away. 3 1/3 − 1 3/4. Write the answer as a mixed number.

Question 162 marks

A rope is 4 m long. A string is 80 cm long. Write the ratio of rope to string in simplest form.

Question 172 marks

A transversal crosses two parallel lines. An angle at the top crossing is 63°. The angle in the same place at the bottom crossing is x. Angle y is next to x on the straight line. What is y?

Question 183 marks

A rectangle has a perimeter of 46 m. Its length is 15 m. How wide is it?

Question 192 marks

Ali asked 12 children how many books they read this term. The answers are 9, 11, 8, 10, 9, 12, 7, 10, 9, 11, 10, 8. He sorts them into the classes 7 to 8, 9 to 10 and 11 to 12. How many children are in the class 9 to 10?

Question 202 marks

Use the formula P = 2l + 2w. A field is 23 m long and 17 m wide. Find its perimeter.

Question 212 marks

A farmer fences a square field on a map grid. Corner posts stand at (−1, −2), (4, −2) and (4, 3). Write the coordinates of the fourth corner post.

Section C. A longer question (8 marks)

Each part uses what you found before. Show your working.

Question 228 marks

A garden is a rectangle drawn on a grid. Its corners are at (−3, −2), (5, −2), (5, 4) and (−3, 4). Each square of the grid is 1 m long.

(a)How long and how wide is the garden? Write the length, then the width. [2 marks]

(b)How much fence goes all the way round the garden? [2 marks]

(c)Write the ratio of the length to the width in simplest form. [2 marks]

(d)The formula for the fence is P = 2l + 2w. Ravi says P = l + w is enough, because a rectangle has a length and a width. Is he right? Use the garden to explain. [2 marks]

For the marker. Mathematics, about class 6

Mark scheme

One line is one mark. A right final answer with no working gets every mark for that part. Lost marks? Read the chapter named under the part.

Question 11 mark

Answer: B. −6, −4, 0, 1

  1. −6, −4, 0, 1: the further below zero, the smaller the number.

Tests M3.1.1 Below zero

Question 21 mark

Answer: D. 18

  1. 6 × 3 = 18, and two negatives give a positive, so 18.

Tests M3.1.2 Calculating with negative numbers

Question 31 mark

Answer: A. 30 × 9

  1. Double 15 to make 30 and halve 18 to make 9, so 30 × 9.

Tests M3.2.1 Multiplying and dividing in your head

Question 41 mark

Answer: C. 2 082

  1. 7 × 6 = 42, write 2 carry 4. 4 × 6 + 4 = 28, write 8 carry 2. 3 × 6 + 2 = 20. So 2 082.

Tests M3.2.2 Short multiplication

Question 51 mark

Answer: C. 3/5

  1. Divide the top and the bottom by 6: 18/30 = 3/5.

Tests M3.3.1 Equal fractions and simplest form

Question 61 mark

Answer: B. 13/20

  1. 1/4 = 5/20 and 2/5 = 8/20, so the sum is 13/20.

Tests M3.3.2 Adding and taking away fractions

Question 71 mark

Answer: D. 2 : 3

  1. 14 : 21, then divide both by 7: 2 : 3.

Tests M3.4.1 Ratio: comparing parts

Question 81 mark

Answer: A. 2/7

  1. The whole mix is 5 + 2 = 7 parts, and 2 of them are cement: 2/7.

Tests M3.4.2 Ratios and fractions

Question 91 mark

Answer: B. 115°

  1. Angles round a point add to 360°: 360° − 150° − 95° = 115°.

Tests M3.5.1 Angles on a line and round a point

Question 101 mark

Answer: C. 74°

  1. Corresponding angles between parallel lines are equal, so x = 74°.

Tests M3.5.2 Angles and parallel lines

Question 111 mark

Answer: D. 1.75 kg

  1. 1 kg = 1 000 g, so 1 750 ÷ 1 000 = 1.75 kg.

Tests M3.6.1 Changing metric units

Question 121 mark

Answer: A. 90°

  1. 10 ÷ 40 × 360 = 90°.

Tests M3.7.2 Bar charts and pie charts

Question 132 marks

Answer: 13 degrees

  1. From −7 °C up to 0 °C is 7 degrees, and from 0 °C up to 6 °C is 6 degrees.
  2. 7 + 6 = 13 degrees.

Tests M3.1.2 Calculating with negative numbers

Question 142 marks

Answer: 8 736 eggs

  1. 1 248 × 7 in columns: 8 × 7 = 56, write 6 carry 5. 4 × 7 + 5 = 33, write 3 carry 3.
  2. 2 × 7 + 3 = 17, write 7 carry 1. 1 × 7 + 1 = 8. So 8 736 eggs.

Tests M3.2.2 Short multiplication

Question 153 marks

Answer: 1 7/12

  1. Change both fractions to twelfths: 3 4/12 − 1 9/12.
  2. 4/12 is less than 9/12, so change one whole into twelfths: 2 16/12 − 1 9/12.
  3. Take away the wholes and the twelfths: 1 7/12. Changing both to improper fractions first also earns the marks.

Tests M3.3.2 Adding and taking away fractions

Question 162 marks

Answer: 5 : 1

  1. Use the same units: 4 m = 400 cm, so the ratio is 400 : 80.
  2. Divide both by 80: 5 : 1.

Tests M3.4.1 Ratio: comparing parts

Question 172 marks

Answer: 117°

  1. x is the corresponding angle, so x = 63°.
  2. Angles on a line add to 180°, so y = 180° − 63° = 117°.

Tests M3.5.2 Angles and parallel lines

Question 183 marks

Answer: 8 m

  1. The two lengths make 2 × 15 = 30 m.
  2. 46 − 30 = 16 m is left for the two widths.
  3. One width is 16 ÷ 2 = 8 m.

Tests M3.6.2 Perimeter

Question 192 marks

Answer: 6 children

  1. There are three 9s and three 10s.
  2. 3 + 3 = 6 children.

Tests M3.7.1 Collecting data

Question 202 marks

Answer: 80 m

  1. P = 2 × 23 + 2 × 17 = 46 + 34.
  2. P = 80 m.

Tests M3.8.2 Putting numbers in

Question 212 marks

Answer: (−1, 3)

  1. The fourth post is straight above (−1, −2), so it has the same across number: −1.
  2. It is level with (4, 3), so it has the same up number: 3. So the post goes at (−1, 3).

Tests M3.9.2 All four quarters of the grid

Question 228 marks

(a)Answer: 8 m long and 6 m wide

  1. Across: from −3 to 5 is 8 squares, so 8 m long.
  2. Up: from −2 to 4 is 6 squares, so 6 m wide.

Tests M3.9.2 All four quarters of the grid

(b)Answer: 28 m

  1. Add all four sides: 8 + 6 + 8 + 6.
  2. The fence is 8 + 6 + 8 + 6 = 28 m long.

Tests M3.6.2 Perimeter

(c)Answer: 4 : 3

  1. Length to width is 8 : 6.
  2. Divide both by 2: 4 : 3.

Tests M3.4.1 Ratio: comparing parts

(d)Answer: No. A rectangle has two lengths and two widths. His rule gives 8 + 6 = 14 m, only half of the 28 m of fence.

  1. Says No, because a rectangle has four sides: two lengths and two widths.
  2. Shows it with the garden: l + w = 14 m, but the fence is 28 m.

Tests M3.8.2 Putting numbers in

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