11+ GL Style MOCK TEST

WOW is the only word that mirrors itself if a vertical line is drawn through the centre of O

A number is divisible by 9 if the sum of its digits is divisible by 9.

1. 435891 → 4 + 3 + 5 + 8 + 9 + 1 = 30 ❌
2. 415791 → 4 + 1 + 5 + 7 + 9 + 1 = 27 ✅
3. 436891 → 4 + 3 + 6 + 8 + 9 + 1 = 31 ❌
4. 445891 → 4 + 4 + 5 + 8 + 9 + 1 = 31 ❌
5. 635891 → 6 + 3 + 5 + 8 + 9 + 1 = 32 ❌

✅ Answer: 415791 is divisible by 9.

A full circle is 360 degrees, and dividing this by 45° gives 8 angles fitting together to make a full circle.

See chart to identify range between max and min values

3500 is 35 x 100
(35 x 100) - (35 x 98) = 35 x 2 = 70

4 cm × 2000 = 8000 cm

Step 2: Convert centimetres to metres

8000 cm ÷ 100 = 80 metres

Length of each side of a regular hexagon = perimeter / 6 = 96/6 = 16cm
So, x² = 16
x = 4

• • Every rectangle is a trapezium: True. A trapezium (or trapezoid in American English) is defined as a quadrilateral with at least one pair of parallel sides. A rectangle has two pairs of parallel sides, so it fits this definition.

  • Every square is a rectangle: True. A rectangle is a quadrilateral with four right angles. A square fits this definition as it has four right angles and all sides equal.

  • Every rectangle is a parallelogram: True. A parallelogram is a quadrilateral with two pairs of parallel sides. A rectangle has two pairs of parallel sides, so it fits this definition.

  • Every rectangle is a square: NOT TRUE. A square has all four sides equal in length, while a rectangle only requires opposite sides to be equal. For example, a rectangle with sides of length 2 and 4 is not a square.

  • Every parallelogram is a quadrilateral: True. A quadrilateral is any polygon with four sides. A parallelogram, by definition, has four sides.

Step 1: Calculate the area of the full hall
Area of the hall = 12 m × 7 m = 84 m²

Step 2: Subtract the area not to be tiled
Area of the central plant area = 3 m × 2 m = 6 m²
Tiling area = 84 m² - 6 m² = 78 m²

Step 3: Calculate the number of tiles needed
Assuming each tile covers 1 m²:
Number of tiles needed = 78

Step 4: Calculate the number of boxes needed
Each box contains 11 tiles:
Number of boxes = 78 ÷ 11 = 7.09
Since John can’t buy a fraction of a box, he needs to round up:
Number of boxes needed = 8

Final Answer: John will need 8 boxes of tiles.

• 0 pets × 4 children = 0 toys

• 1 pet × 14 children = 14 toys

• 2 pets × 6 children = 12 toys

• 3 pets × 2 children = 6 toys

Total = 0 + 14 + 12 + 6 = 32 toys

• 1 litre = 1000 ml
  2.5 litres = 2.5 × 1000 = 2500 ml

  Use the percentage formula
  Percentage = (Part / Whole) × 100
  = (400 / 2500) × 100
  = 0.16 × 100
  = 16%

The 43rd number in the series is 85

3³ - 2 x 6 + 3 = 27-12+3 = 18
Largest whole number less than 18 is 17

• • Add up all the numbers in the diagram:

    • Only Football: 6

    • Only Basketball: 5

    • Only Tennis: 3

    • Football & Basketball: 4

    • Football & Tennis: 4

    • Basketball & Tennis: 2

    • All three sports: 8

    • None: 2

    ✅ Total = 6 + 5 + 3 + 4 + 4 + 2 + 8 + 2 = 34

  • 12/34 OR 6/17 of the students play football AND tennis.

£1.2 ≈ $1.5, so £12 ≈ $15

10 km = 1,000,000 cm
Map distance = 1,000,000 ÷ 50000 = 20 cm

Each die has 6 faces, so:
6 outcomes from the first die × 6 outcomes from the second die = 36 total possible outcomes

The following pairs give a sum of 7:

• 1 and 6

• 2 and 5

• 3 and 4

• 4 and 3

• 5 and 2

• 6 and 1

There are 6 outcomes that give a sum of 7.

Favorable outcomes = 6
Total outcomes = 36

So, the probability = 6 out of 36 = 1 out of 6

Using the angle sum property, x = 180° - 90° - 25° = 65°.

£7.20 is 90%, so full price = £7.20 ÷ 0.9 = £8

the full equation is: x divided by 14 plus 15 equals 20.

x divided by 14 equals 5.

x equals 5 times 14, which is 70.

Total number of people = 100

Total Men = 26 + 10 + 9 = 45
So, Women = 100 - 45 = 55

So, x + 21 + 15 = 55
x + 36 = 55
x = 55 - 36
x = 19

Total perimeter = 48 m
Cost = £4 x 48 = £192

Emma has 8 yards. Each cushion uses ¾ yard.
8 ÷ ¾ = 8 × 4 ÷ 3 = 32 ÷ 3 = 10.66 ≈ 10

55% of 180 = (55 ÷ 100) × 180 = 99

Volume of cube (ie.smaller box) = 27, Volume of bigger box = 36
27/36 = 3/4

Distance = 120 m (train) + 280 m (tunnel) = 400 m

Speed = Distance ÷ Time
Speed = 400 ÷ 40 = 10 m/s

Speed in km/h = 10 m/s * 3.6 = 36 km/h

492 can be divided exactly by 4 and 3 both

4.8 ÷ 0.2 = (48 ÷ 2) = 24
Multiply both by 10 first

4 hrs = 240 min
240 − 60 = 180 min
180 ÷ 45 = 4kg

Convert to decimal:
3.49% = 0.0349, smallest

The diameter passes through the centre and touches both edges

(9.0 − 7.5) ÷ 7.5 × 100 = 20%

2 shaded, so 4 out of 6 are not
4/6 = 2/3

The likely weight of a standard laptop is 1.5Kg.

3n + 15

x + x + 30 = 180
2x + 30 = 180
2x = 150
Therefore, x = 75

They are all multiples of 9.