Numbers and Arithmetic S1

Numbers and Arithmetic

AMEP Summer Training 2023

What is AMEP?

AMEP stands for AMSLI’S Mathematics Enrichment Program

It is one of the three training programs of AMSLI for students.
The other two are:

ASEP - AMSLI’S ScienceEnrichment Program
ASEP - AMSLI’S Informatics Enrichment Program

What is AMEP?

AMEP is designed to enrich the mathematical concepts
learned in school math classes.

There are 10 sessions, each for 3 hours.

AMEP provides the trainees more opportunities
to develop their critical thinking and problem-solving
skills under the tutelage of the trained and selected
AMSLI Math mentors.

Assessment and Awards

All trainees will be assessed through quizzes/graded activities and examinations. All these
tests will cover topics discussed during the training

The top 20% of each grade level will receive AMSLI Achiever Medals
and AMSLI Achiever Certificates.

Achievers will be further classified into With Highest Honors, With High
Honors and With Honors in the approximate ratio 1:2:3

The next 10% of each grade level will each receive a Certificate as
AMSLI’s Distinction Awardees.

Assessment and Awards

Achievers and Distinction Awardees will be invited to the
consequent 10-session Send-Off Training tentatively scheduled January 2024.

attended and actively participated in all 10 sessions will
receive Certificates of Perfect Attendance

actively participated in at least 7 sessions will receive
Certificates of Completion

actively participated for 5 or 6 sessions will receive Certificates
of Participation.

Trainees who -

Certificates and Medals will be sent via courier to the respective schools of the trainees. Awards can also be
picked-up from the AMSLI office with prior arrangement.

2023 Summer AMEP Grade 4 Session 1

Numbers and Arithmetic

For operations involving whole numbers, we can use commutative and
distributive properties. We can also do pairing or splitting numbers. Study the
following examples:

Example 1: 100 – 200 + 300 – 400 + 500

Example 2: 102 + 104 + 106 + 108 + 110 + 112
Solution:
Method 1 (by pairing)

Method 2 (by splitting)

Example 3:

999 + 777 + 555 + 333 + 111 – 888 – 666 – 444 – 222

Example 4:

202 × 50 + 208 × 50

Example 5:

a.) 236 ÷ 5 + 134 ÷ 5 b.) 458 ÷ 5 – 263 ÷ 5

Example 6:

7 + 14 + 21 + … + 70

Example 7:

112 × 30 + 108 × 31

Example 8:

343 × 3 ÷ 49

Example 9:

Example 10:

504 ÷ 3 – 126 ÷ 3 + 24 ÷ 3

Multiple Choice

104 + 105 + 204 + 205 + 304 + 305 + 404 + 405 + 504 + 505 + 604 + 605.

• 3426

• 4654

• 3329

• 4254

Multiple Choice

1001 + 1002 + 2002 + 2003 + 3003 + 3004 + 4004 + 4005 + 5005 + 5006.

• 30038

• 30035

• 41045

• 40045

Multiple Choice

2 – 4 + 6 – 8 + 10 – 12 + 14 – … – 48 + 50

• 26

• 34

• 46

• 52

Multiple Choice

102 – 105 + 108 – 111 + … + 144 – 147 + 150

• 98

• 126

• 238

• 426

Multiple Choice

1001 + 1002 – 1003 + 2001 + 2002 – 2003 + … + 9001 + 9002 – 9003

• 27800

• 37000

• 44800

• 45000

Multiple Choice

11 + 13 + 15 + 17 + … + 99

• 1265

• 2475

• 2775

• 3865

Fill in the Blanks

1 – 11 + 21 – 31 + 41 – 51 + 61 – 71 + 81 – 91 + 101

Fill in the Blanks

201 + 301 + 401 + 501 + 601 – 199 – 299 – 399 – 499 – 599

Fill in the Blanks

1 – 3 + 5 – 7 + 9 – 11 + 13 – … + 97 – 99 + 101

Multiple Choice

2010 ⋅ 401 – 400 ⋅ 2012

• 1120

• 1020

• 1210

• 2110

Multiple Choice

22 ⋅ 33 + 33 ⋅ 44 + 44 ⋅ 55 + 55 ⋅ 66

• 8228

• 8328

• 8248

• 8388

Multiple Choice

$$\frac{75\ ^.\ 2}{8}.\ \frac{126}{15}\ .\ 4$$

• 336

• 340

• 580

• 630

Fill in the Blanks

Find the value of 4321 + 321 + 21 + 1- 1234 - 1230 - 1200 - 1000

Fill in the Blanks

Find the difference between the sum of all even numbers and the sum of all odd numbers from 1 to 1000.

Fill in the Blanks

$1\frac{2}{5}-1\frac{3}{5}+2\frac{2}{5}-2\frac{3}{5}+3\frac{2}{5}-3\frac{3}{5}+4\frac{3}{5}-4\frac{2}{5}+5\frac{2}{5}-5\frac{3}{5}+6\frac{2}{5}-6\frac{3}{5}+7\frac{2}{5}-7\frac{3}{5}+8\frac{2}{5}-8\frac{3}{5}$

Fill in the Blanks

Find the solution

Multiple Choice

• 16

• 21

• 28

• 32

Multiple Choice

$$\frac{1\times2+2\times4+3\times6}{2\times4+3\times6+4\times8}$$

• 11/17

• 13/23

• 13/ 34

• 14/29

Multiple Choice

$$\left(\frac{2}{3}+\frac{3}{4}+1\right)\times\left(\frac{2}{3}+\frac{3}{4}+\frac{5}{6}\right)-\left(\frac{2}{3}+\frac{3}{4}+\frac{5}{6}+1\right)\times\left(\frac{2}{3}+\frac{3}{4}\right)=?$$

• 3/4

• 2/3

• 5/6

• 1

DECIMALS

Example 1: 6.38 + 14.26 + 3.62

Example 3: 24.85 – 12.64 – 7.36

Example 2: 16.42 + 8.44 – 12.42

Example 4: 0.25 × 84.5 × 40

Example 5: 32 × 0.125 × 2.5

Example 6: 18.6 × 6.4 + 18.6 × 3.6

Example 7: 6.25 × 7.32 + 6.25 × 8.68

Fill in the Blanks

4.2 + 7.42 + 5.58 + 5.8 =

Fill in the Blanks

14.72 - 3.58 - 2.42 =

Fill in the Blanks

48.93 -10.63 -1.22 -4.37 -3.78 =

Fill in the Blanks

365 X 3.6 +36.5 X 14 + 36.5 X 50 =

Fill in the Blanks

198 X 2.4 + 19.8 X 22 +1.98 X 540 =

Multiple Choice

Find the value of 8.34 +9.43 +10.17 + 11.66 + 12.57 + 13.83

• 42

• 66

• 86

• 92

Multiple Choice

Simplify : 15.73 - 6.42 - 8.35 + 3.42 + 3.35 - 3.73

• 1

• 4

• 6.2

• 7.15

Fill in the Blanks

if N= 0.625 x 0.625 x0.625...₂₀₂₂ x 8 x8 x8 x8 x8...₂₀₂₂ x2 x2 x2 x2 ... ₂₀₂₂ , find the sum of the digits of N

13. Simplify: 15.73 – 6.42 – 8.35 + 3.42 + 3.35 – 3.73

14. Find the value of 0.562

327 + 0.938

562 – 2.65

56.2