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Convert 21 from base 10 to base 2. Calculate 15% discount on N5,000. List 3 cylindrical and 3 rectangular prism household objects. Simplify 5x + 10 - 2x + 4.
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MATHEMATICS
1. Number Bases: Convert 21 from Base 10 to Base 2
Divide 21 by 2.
Divide 10 by 2.
Divide 5 by 2.
Divide 2 by 2.
Divide 1 by 2.
Read the remainders from bottom to top.
The base 2 representation of 21 is:
2. Percentages: Calculate the discount on an Easter hamper
Calculate 15% of N5,000.
Perform the multiplication.
The discount is:
3. Geometry: List 3 cylindrical and 3 rectangular prism household objects
- Cylindrical Objects:
- Tin can (e.g., for food)
- Toilet paper roll
- Drinking glass
- Rectangular Prism Objects:
- Book
- Shoebox
- Brick
4. Algebra: Simplify the expression
- Cylindrical Objects:
Group like terms.
Combine the terms.
Combine the constant terms.
The simplified expression is:
5. Fractions: Calculate the fraction of cake left
Find the total fraction of cake eaten.
Find a common denominator, which is 20.
Subtract the eaten fraction from the whole cake (1).
The fraction of the whole cake left is:
6. Decimals: Solve without using a calculator
Multiply the numbers as if they were whole numbers.
Count the total number of decimal places in the original numbers.
12.5 has 1 decimal place.
0.4 has 1 decimal place.
Total decimal places = .Place the decimal point in the product (500) two places from the right.
The product is:
7. LCM: Find the Lowest Common Multiple (LCM) of 12, 18, and 24
List the prime factorization of each number.
For each prime factor, take the highest power that appears in any of the factorizations.
For 2: The highest power is (from 24).
For 3: The highest power is (from 18).Multiply these highest powers together.
The Lowest Common Multiple is:
8. Angles: Draw an angle of and label it correctly as "Obtuse"
An angle of is an obtuse angle because it is greater than but less than .
To draw it:- Draw a straight line segment. This will be one arm of the angle.
- Place the protractor's center on one endpoint of the line segment (the vertex). Align the baseline of the protractor with the line segment.
- Find the mark on the protractor and make a small dot.
- Draw a second line segment from the vertex to the dot.
- Label the angle as and indicate that it is an obtuse angle.
9. Word Problem: Calculate cloth needed for 6 outfits
Multiply the cloth needed for one outfit by the number of outfits.
Perform the multiplication.
The total meters of cloth needed is:
10. Symmetry: Draw a square and a rectangle and their lines of symmetry
- Square: A square has 4 lines of symmetry.
- Two lines pass through the midpoints of opposite sides (horizontal and vertical).
- Two lines pass through opposite vertices (diagonals).
- Rectangle: A rectangle has 2 lines of symmetry.
- Two lines pass through the midpoints of opposite sides (one horizontal, one vertical).
- (A rectangle does not have diagonal lines of symmetry unless it is also a square).
DIGITAL TECHNOLOGIES
Shortcut Challenge:
- a) Highlight your name and press Ctrl + B. What happened to the text?
- The text became bold.
- b) Press Ctrl + E. Where did your text move to on the page?
- The text moved to the center of the page.
- c) Press Ctrl + J three times. Did the text get smaller or larger?
- Ctrl + J is the shortcut for Justify alignment in Microsoft Word. It aligns text to both the left and right margins. It does not make the text smaller or larger.
- d) Observation: In the "Insert" tab, click "Shapes". Draw a star. Which menu tab appears at the very top (usually in a different color) once the star is selected?
- The Format tab (specifically "Shape Format" or "Drawing Tools Format") appears.
- Square: A square has 4 lines of symmetry.
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