Step-by-step Maths Level 3 Halves and quarters: check-up and practice test questions

Method. A shape is split into halves only when there are 2 equal parts.

1. Count the parts. We need 2 equal parts to be halves.
   2 parts
2. Check the parts are the same size. Equal parts must be the same size.
   the parts are not equal
3. Write the answer. The parts are not all the same size, so it is not split into equal parts.
   no

Check. Check the size of each part by eye: all must match.

Watch out. Equal parts are the same size. Count the parts and check each one.

Method. Divide the number into equal parts, then take the number of parts the fraction says.

1. Split 24 into 4 equal groups. Each group is one part of the whole.
   24 ÷ 4 = 6
2. Take 1 of the groups. 1/4 means 1 of the 4 equal parts.
   1 × 6 = 6
3. Write the answer. This is the amount for the fraction.
   6

Check. Check: 6 is 1 of the 4 equal groups of 6.

Watch out. The bottom number tells you how many equal groups to split into. The top number tells you how many to take.

Method. A shape is split into halves only when there are 2 equal parts.

1. Count the parts. We need 2 equal parts to be halves.
   2 parts
2. Check the parts are the same size. Equal parts must be the same size.
   the parts are equal
3. Write the answer. There are 2 parts and they are all the same size.
   yes

Check. Check the size of each part by eye: all must match.

Watch out. Equal parts are the same size. Count the parts and check each one.

Method. Divide the number into equal parts, then take the number of parts the fraction says.

1. Split 16 into 2 equal groups. Each group is one part of the whole.
   16 ÷ 2 = 8
2. Take 1 of the groups. 1/2 means 1 of the 2 equal parts.
   1 × 8 = 8
3. Write the answer. This is the amount for the fraction.
   8

Check. Check: 8 is 1 of the 2 equal groups of 8.

Watch out. The bottom number tells you how many equal groups to split into. The top number tells you how many to take.

Method. A shape is split into halves only when there are 2 equal parts.

1. Count the parts. We need 2 equal parts to be halves.
   2 parts
2. Check the parts are the same size. Equal parts must be the same size.
   the parts are not equal
3. Write the answer. The parts are not all the same size, so it is not split into equal parts.
   no

Check. Check the size of each part by eye: all must match.

Watch out. Equal parts are the same size. Count the parts and check each one.

Method. A unit fraction has a 1 on top. The bottom number is the number of equal parts.

1. Count the equal parts. The bottom number is the number of equal parts.
   9 equal parts
2. One part is 1 of them. A unit fraction has 1 on top.
   1 part out of 9
3. Write the fraction. The top number is 1 for one part.
   1/9

Check. Check: 9 of these parts make the whole.

Watch out. One part of a shape split into four is 1/4.

Method. Count the equal parts for the bottom number, and the shaded parts for the top number.

1. Count the equal parts. The shape is split into 2 equal parts.
   2 equal parts
2. Count the shaded parts. 1 of the 2 parts are shaded.
   1 shaded
3. Write the fraction. The shaded parts go on top. The number of equal parts goes underneath.
   1/2

Check. Check: 1 shaded parts out of 2 equal parts.

Watch out. The bottom number counts all the equal parts, shaded or not.

Method. Divide the number into equal parts, then take the number of parts the fraction says.

1. Split 48 into 4 equal groups. Each group is one part of the whole.
   48 ÷ 4 = 12
2. Take 3 of the groups. 3/4 means 3 of the 4 equal parts.
   3 × 12 = 36
3. Write the answer. This is the amount for the fraction.
   36

Check. Check: 36 is 3 of the 4 equal groups of 12.

Watch out. The bottom number tells you how many equal groups to split into. The top number tells you how many to take.

Method. A unit fraction has a 1 on top. The bottom number is the number of equal parts.

1. Count the equal parts. The bottom number is the number of equal parts.
   5 equal parts
2. One part is 1 of them. A unit fraction has 1 on top.
   1 part out of 5
3. Write the fraction. The top number is 1 for one part.
   1/5

Check. Check: 5 of these parts make the whole.

Watch out. One part of a shape split into four is 1/4.

Method. A shape is split into quarters only when there are 4 equal parts.

1. Count the parts. We need 4 equal parts to be quarters.
   4 parts
2. Check the parts are the same size. Equal parts must be the same size.
   the parts are not equal
3. Write the answer. The parts are not all the same size, so it is not split into equal parts.
   no

Check. Check the size of each part by eye: all must match.

Watch out. Equal parts are the same size. Count the parts and check each one.

Method. Divide the number into equal parts, then take the number of parts the fraction says.

1. Split 28 into 4 equal groups. Each group is one part of the whole.
   28 ÷ 4 = 7
2. Take 1 of the groups. 1/4 means 1 of the 4 equal parts.
   1 × 7 = 7
3. Write the answer. This is the amount for the fraction.
   7

Check. Check: 7 is 1 of the 4 equal groups of 7.

Watch out. The bottom number tells you how many equal groups to split into. The top number tells you how many to take.

Method. Count the equal parts for the bottom number, and the shaded parts for the top number.

1. Count the equal parts. The shape is split into 4 equal parts.
   4 equal parts
2. Count the shaded parts. 2 of the 4 parts are shaded.
   2 shaded
3. Write the fraction. The shaded parts go on top. The number of equal parts goes underneath.
   2/4

Check. Check: 2 shaded parts out of 4 equal parts.

Watch out. The bottom number counts all the equal parts, shaded or not.

Method. A unit fraction has a 1 on top.

1. Look at the top number of each fraction. A unit fraction has 1 on top.
   1/9 has 1 on top, 4/6 has 4 on top, 4/8 has 4 on top
2. Find the one with 1 on top. Only one of them has a 1 on top.
   1/9
3. Write the answer. This is the unit fraction.
   1/9

Check. 1/9 is one of equal parts. The others take more than one part.

Watch out. The top number is the number of parts we take. A unit fraction takes just one.

Method. A unit fraction has a 1 on top. The bottom number is the number of equal parts.

1. Count the equal parts. The bottom number is the number of equal parts.
   3 equal parts
2. One part is 1 of them. A unit fraction has 1 on top.
   1 part out of 3
3. Write the fraction. The top number is 1 for one part.
   1/3

Check. Check: 3 of these parts make the whole.

Watch out. One part of a shape split into four is 1/4.

Method. A unit fraction has a 1 on top. The bottom number is the number of equal parts.

1. Count the equal parts. The bottom number is the number of equal parts.
   6 equal parts
2. One part is 1 of them. A unit fraction has 1 on top.
   1 part out of 6
3. Write the fraction. The top number is 1 for one part.
   1/6

Check. Check: 6 of these parts make the whole.

Watch out. One part of a shape split into four is 1/4.

Method. Split the amount into equal parts, then take the parts the fraction asks for.

1. Split the 16 beads into 4 equal groups. Each group is one part of the whole.
   16 ÷ 4 = 4
2. Take 1 of the groups for the box. 1/4 is 1 of the 4 equal parts.
   1 × 4 = 4
3. Write the answer. This is the number in the box.
   4

Check. Check: 4 is 1 of the 4 equal groups of 4.

Watch out. Work out one part first, then take the number of parts.

Method. A shape is split into halves only when there are 2 equal parts.

1. Count the parts. We need 2 equal parts to be halves.
   2 parts
2. Check the parts are the same size. Equal parts must be the same size.
   the parts are not equal
3. Write the answer. The parts are not all the same size, so it is not split into equal parts.
   no

Check. Check the size of each part by eye: all must match.

Watch out. Equal parts are the same size. Count the parts and check each one.

Method. Divide the number into equal parts, then take the number of parts the fraction says.

1. Split 8 into 4 equal groups. Each group is one part of the whole.
   8 ÷ 4 = 2
2. Take 1 of the groups. 1/4 means 1 of the 4 equal parts.
   1 × 2 = 2
3. Write the answer. This is the amount for the fraction.
   2

Check. Check: 2 is 1 of the 4 equal groups of 2.

Watch out. The bottom number tells you how many equal groups to split into. The top number tells you how many to take.

Method. A shape is split into halves only when there are 2 equal parts.

1. Count the parts. We need 2 equal parts to be halves.
   2 parts
2. Check the parts are the same size. Equal parts must be the same size.
   the parts are equal
3. Write the answer. There are 2 parts and they are all the same size.
   yes

Check. Check the size of each part by eye: all must match.

Watch out. Equal parts are the same size. Count the parts and check each one.

Method. Split the amount into equal parts, then take the parts the fraction asks for.

1. Split the 8 beads into 4 equal groups. Each group is one part of the whole.
   8 ÷ 4 = 2
2. Take 3 of the groups for the box. 3/4 is 3 of the 4 equal parts.
   3 × 2 = 6
3. Write the answer. This is the number in the box.
   6

Check. Check: 6 is 3 of the 4 equal groups of 2.

Watch out. Work out one part first, then take the number of parts.