D E LTA Academies Trust
EARL Y Y E ARS FOU NDATION ST A G E BO O KL ET
MATHEMATICS YOU R SUMMER BO O KL ET Dear Year Six We know you will have missed being with your friends and teachers over the last few weeks and we know that you have worked really hard with home learning tasks. We want you need to enjoy this summer holiday but we also want to make sure you do not forget all the amazing maths you have learnt. This booklet is just something to keep your brain active over the summer and we hope you enjoy trying some of the questions. There is a page for each week of the holiday and we know your new secondary maths teachers would love to see your answers in September. Enjoy Maths Team at Delta
Mathematics
Mathematics
WEEK 2
WEEK 1
TIMES TABLES
BASIC SKILLS
1.
3 × 11 =
1.
Work out 61 × 31
2.
4 × 12 =
2.
Write 0.7 as a fraction
3.
5 × 8
=
3.
If a = 4, b = 3 and c = 1 what is the value of
4.
6 × 9
=
3a − b²?
5.
7 × 7
=
4.
What is the highest common factor of 12 and 42?
Work out (-1) − (-4)
6.
11 × 11 =
5.
Work out 46.15 + 5.08
List all the factors of 12
7.
8 × 12 =
6.
Write 20:12 in 12 hour clock format
8.
9 × 5 =
7.
Work out 3 − (-5)
9.
4 × 9 =
8.
What is the value of 13 squared?
TIMES TABLES
BASIC SKILLS
1.
3 × 4 =
1.
2.
5 × 6 =
2.
1 Work out 5 of 20 Write 1:07 pm in 24 hour clock format
3.
8 × 2 =
3.
Work out 4.98 + 15.59
4.
9 × 4 =
4.
If a = 7, b = 5 and c = 3 what is the value
5.
2 × 5 =
of 3b²?
6.
5.
What is the positive value of √64?
3×7 =
6.
7.
8×5 =
7.
8.
9 × 7 =
9.
7 × 1 =
10. 5 × 5 =
8.
Write 20% as a fraction
9.
Work out 13.54 – 5.97
10. Write 0.35 as a percentage
10. 8 × 7 =
9.
Work out 25% of 64 56 10. Write 72 in its simplest form
PROBLEM SOLVING
PUZZLE
PROBLEM SOLVING
PUZZLE
Anne goes to the shops to buy a dress and a pair of shoes. The dress costs £40 and the shoes cost £32. If Anne gets both the dress and the 1 shoes, she will get off the price. 4 There is a charge of £2.50 for a gift box. How much will Anne have to pay if she buys both the dress and the shoes as well as a gift box?
Arrange the numbers 1 to 5 in the white squares so that the total of the row is the same as the total of the column. How many different ways are there of doing this? What do you notice about the different ways of solving this problem?
Chloe earns £400 a week. She spends 2 of her wages on food 5 and 3 on rent and bills. 8 How much money does she have left after food, rent and bills?
Use the buttons on this broken calculator to make the totals from one to ten (only the dark blue buttons now work). e. g. 5 = 54 − 45 − 4
× C
2
YOU R SUMMER BO O KL ET
Delta Academies Trust
YOUR SUM M ER B OOKL ET
Delta Academies Trust
3
Mathematics
Mathematics
WEEK 3 WORK OUT
BASIC SKILLS
WORK OUT
BASIC SKILLS
1.
9 × 5 =
1.
Work out 7 + 25 ÷ 5
1.
7 × 10 =
1.
What is 25% of £190?
2.
10 ÷ 2 =
2.
Work out 2.013 ÷ 0.1
Work out 6146 ÷ 7
3.
8×
= 8
Work out 2.26 × 1000
21 ÷ 3 =
2.
3.
2.
Work out 4 + 5 × 1
4.
16 ÷
= 4
4.
5÷
4.
Work out 462.2 ÷ 5
5.
8 × 4 =
5.
13 × 2 =
5.
Work out 1000 × 0.64
6.
6.
Work out 27 − 0.98 3 Write 5 7 as an improper fraction Find the difference between 4 and -4
3×
3.
4.
3.
15 ÷ 3 =
7.
What is the lowest common multiple of
6.
6.
30 ÷ 3 =
4 and 5?
× 2 = 8
8.
8.
7.
Work out 69.12 − 9.2 35 Write 49 in its simplest form From 2:46 am, how many minutes
What is the cube root of 27?
until 3:22 am?
Write 0.28 as a fraction in its simplest form
÷ 3 = 6
9.
8.
9.
31 + 47 = 30 + 40 +
7.
× 12 = 12
8.
÷ 7 = 7
9.
5 × 8 =
10. 24 ÷ 2 =
4
WEEK 4
5.
10. If a = 3, b = 1 and c = 6 what is the value of a2b3 + 2c?
9.
= 24 = 1
8 × 6 =
10. 63 ÷ 7 =
7.
10. Round 0.006435 to 1s.f
WHAT ARE THEY?
PROBLEM SOLVING
PUZZLE
1.
The product of two odd numbers is 51
What are they?
2.
The difference between two square numbers is 3
What are they?
3.
The sum of three prime numbers is 21
Amy, Ben and Caroline share some 1 money. Caroline gets 10 of the money. Amy and Ben share the rest of the money in the ratio 1:2. How much money does Ben get?
Arrange the numbers below to make a magic square. The totals of each row, column and diagonal should be the same.
What are they?
4.
The ratio of two even numbers is 9:3
What are they?
YOU R SUMMER BO O KL ET
Delta Academies Trust
1 2 3 4 5 6 7 8 9
YOUR SUM M ER B OOKL ET
Delta Academies Trust
5
Mathematics
Mathematics
WEEK 6
WEEK 5
WORK OUT
WORK OUT
BASIC SKILLS
1.
10 × 10 =
1.
2.
8 ÷ 8 =
2.
1 What is 3 of 12? Work out 6 × 225
3.
5×
= 40
3.
Work out 9.8 × 4.8
4.
20 ÷
= 5
4.
Write 100% as a decimal number
5.
9 × 8 =
5.
Work out 1.23 + 46.27
6.
Work out (-24) ÷ (-3)
6.
80 ÷ 8 =
7. 8.
If a = 7, b = 7 and c = 2 what is the value of ac 2b ? Work out (-3) − (-7)
9.
What is the highest common factor of
23 and 20?
7.
× 6 = 18
8.
÷ 7 = 10
9.
7 × 8 =
10. 108 ÷ 6 =
BASIC SKILLS
1.
7 × 7
=
1.
2.
20 ÷ 4 =
2.
3.
1×
= 7
4.
54 ÷
= 6
5.
9 × 9
6.
40 ÷ 10 =
=
7.
× 6 = 18
8.
÷ 4 = 8
9.
3 × 9 =
10. 96 ÷ 6 =
10. Round 275 to 1 s.f.
3.
What is the value of 3√64? 10 50 Work out 4 = Work out (1 − 1)2 + 5 × 4
4.
Work out 6 × (-7)
5.
Round 56.7721 to 3 d.p.
6.
From 1:13 pm how many minutes until 2:10 pm?
7.
Work out 8.7 × 85.92
8.
Write 0.83 as a percentage
9.
If a = 10, b = 6 and c =4 what is the value of
3b − (a + c)?
10. What is 65% of £400?
PROBLEM SOLVING
PUZZLE
PROBLEM SOLVING
WEATHER REPORT
Find the value of a.
Calculate the distance around this shape (all angles are right angles).
Bus A and Bus B leave the bus depot at 1pm. Bus A takes 20 minutes to do its route and Bus B takes 30 minutes to complete its route. At what time are they both back at the bus depot together?
“Can you tell me what the temperature has been at noon for the past five days?” John asked the weatherman. “I don’t exactly recall,” replied the weatherman, “but I do remember that the temperature was different each day, and that the product of the temperatures is 12.” Assuming that the temperatures are expressed to the nearest degree, what were the five temperatures?
10cm
(a - 5)o (2a - 55)o
12cm
3ao
6
YOU R SUMMER BO O KL ET
Delta Academies Trust
YOUR SUM M ER B OOKL ET
Delta Academies Trust
7
Academies Trust Education House, Spawd Bone Lane, Knottingley, WF11 0EP T: 0345 196 0033 | info@deltatrust.org.uk | www.deltatrust.org.uk Summer 2020