prac2xl.comMathematics : Year 6
Mixed Practice
Name: Mathematics · Year 6Date: 09 September 2026
Section A — Warm Up
1.
C = n × p. n = 6, p = 10. Find C.
Answer:
2.
1/3 of the water in a jug of water is poured out. Then 1/4 of what is left is poured out. What fraction of the original water is left?
Answer:
3.
A village had 196 houses. The number fell by 50%. How many houses now?
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4.
If 3 pipes fill a swimming pool in 6 hours, how long would 1 pipe take at the same rate?
Answer:
5.
Benjamin's model train set has steam, diesel and electric engines. Steam:Diesel = 12:7, Diesel:Electric = 7:4. Find Steam:Electric.
Answer:
Section B — Practice
6.
Dhruv buys 5 pens at the same price and a notebook costing £6. He pays £26 altogether. What is the price of one pen?
Answer:
7.
A garden has 115 flowers in ratio 3:2. What is the difference between the two parts?
Answer:
8.
Which is larger: 90% or 0.98?
Answer:
9.
If a ♦ b means "double a, then subtract b":
Find 4 ♦ 5.
Answer:
10.
The altitude changes from -86m to 20m. Calculate the difference.
Answer:
Section C — Challenge
11.
Find x: 22.2 ÷ x = 6.0
Answer:
12.
Decide whether this statement is always true, sometimes true, or never true.
"A number that is a multiple of both 4 and 6 is a multiple of 24."
Answer:
13.
What is -1 - (-20) + 4?
Answer:
14.
Facing a bearing of 065°, you turn 115° anticlockwise. What is your new bearing?
Answer:
15.
What number is made up of 3 millions, 7 hundred thousands, 7 ten thousands, 0 thousands, 0 hundreds, 6 tens, 2 ones?
Answer:
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