BrainLoader · Practice Coach

Number & Algebra check

37 marks · one sheet per student

HomeLearning hubNumber check-inGuided Check-in

Class set

Each name gets their own sheet to complete or print. Class and date are shared. A link from the HomeLearning number room fills the class when it is still empty. On screen, a pupil can type into the boxes and check that sheet. Open the marking copy when you want the answers.

  • 1

One sheet per student

Mini Maths Check

Tables, ratios and fractions · Number & Algebra

19 questions, 37 marks. Answer on your own sheet. The number lines, grids and diagrams are part of the thinking — use them.

9 times table
— / 8
Tables grid
— / 12
Ratios
— / 5
Fractions
— / 12
Total
— / 37

9 times table ____ / 8Tables grid ____ / 12Ratios ____ / 5Fractions ____ / 12Total ____ / 37

1The 9 times table

Look

Multiples of 9 have a digit pattern. Add the digits and you get 9, or a number that itself adds to 9.

18
1 + 8 = 9
27
2 + 7 = 9
36
3 + 6 = 9
1
45 is 9 × 5. Add the digits: 4 + 5 =
2
Which of these is a multiple of 9? 64 or 72
3
Fill in the missing multiples on the number lines. Six boxes, one mark each.
From 0. Each gap is a jump of 9.
  1. 0×0
  2. +99×1
  3. +918×2
  4. +9×3
  5. +936×4
  6. +945×5
  7. +9×6
Continued, still jumping in 9s, up to 9 × 12.
  1. ×7
  2. +9×8
  3. +981×9
  4. +990×10
  5. +9×11
  6. +9×12

2The full tables grid

Look

This grid is the 1 to 12 times tables. Amber cells are the 9s. Pale cells are the 1, 2, 5 and 10 times tables, already filled so you can reason from them. A folded corner is the same fact as the cell on the other side of the diagonal — leave it, and complete the empty boxes.

×34
3912
4Same as 3 times 416

3 × 4 = 12, so the fold stands in for 4 × 3. You only write in the empty boxes.

  • 9 times table
  • 1, 2, 5 and 10
  • Write this
  • Same other side
4
Complete the 12 empty cells. 12 marks.
1 to 12 times tables. Empty cells need an answer. Folded cells match the fact on the other side of the diagonal. Amber cells are the 9 times table.
×123456789101112
1123456789101112
224681012141618202224
336915182127303336
4484 times 3 matches 3 times 416203236404448
551015202530354045505560
6612186 times 4 matches 4 times 63042546066
7714217 times 4 matches 4 times 7354263707784
88168 times 3 matches 3 times 832408 times 6 matches 6 times 88 times 7 matches 7 times 872808896
9918273645546372819099108
10102030405060708090100110120
11112233445566778899110132
12122436486012 times 6 matches 6 times 128496108120132

3Ratios

Look

A ratio compares parts. One red bead for every two blue beads is 1 : 2.

5Simple
The counters are two equal groups. Write the ratio of orange to teal in its simplest form.
6Step up
Squash is mixed as 2 cups of squash to 5 cups of water. The lines go up together. How many cups of water for 8 cups of squash?
Squash
0
2
4
6
8
Water
0
5
10
15
7Stretch
Asha
1 part
Ben
3 parts
Cleo
4 parts

96 stickers altogether

Asha, Ben and Cleo share 96 stickers in the ratio 1 : 3 : 4. How many stickers does each person get? Asha Ben Cleo

4Fractions

Three questions for each operation, from simple to harder. Write fractions in their simplest form. A mixed number such as 1 1/2 or an improper fraction such as 3/2 are both fine.

Addition

Look

Same denominator: add the shaded parts. 1/4 + 1/4 = 2/4 = 1/2.

+=
8Simple
2/8 + 3/8 =
9Step up
Each mark is one sixth. Start at 1/2, then move one more sixth.
0
1/2
1
1/2 + 1/6 = Simplest form.
10Stretch
1/4 = 5 twentieths
1/5 = 4 twentieths
3/4 + 2/5 = Simplest form.

Subtraction

Look

The hatched part is taken away. 3/5 − 1/5 = 2/5.

11Simple
7/9 − 2/9 =
12Step up
Each mark is one sixth. Find the gap between 5/6 and 1/2.
0
1/2
5/6
1
5/6 − 1/2 = Simplest form.
13Stretch
1/4 = 3 twelfths
1/3 = 4 twelfths
3/4 − 2/3 = Simplest form.

Multiplication

Look

Of means multiply. The dark overlap is the product. Half of a half is a quarter.

14Simple
1/2 × 1/4 = Count the dark overlap.
15Step up
2/3 × 3/5 = Simplest form.
16Stretch
2 1/4 × 2/3. These are the 9 quarters in 2 1/4, in groups of three. Keep 2 quarters from each group. Simplest form.

Division

Look

1/2 ÷ 2 means share a half between 2. Each piece is 1/4.

17Simple
1/3 ÷ 2 = The shaded third is shared between 2.
18Step up
How many jumps of 1/5 fit into 4/5?
0
1/5
2/5
3/5
4/5
1
4/5 ÷ 1/5 =
19Stretch
Start at 0. Each jump is 3/4 long. Count how many jumps land exactly on 1 1/2.
0
1/4
1/2
3/4
1
1 1/4
1 1/2
1 1/2 ÷ 3/4 = How many jumps of 3/4 fit into 1 1/2?