GRADE 6 TERM 4 MATHEMATICS WORKSHEET 1 • Teacha! - Free Printable
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Step-by-step solution for: GRADE 6 TERM 4 MATHEMATICS WORKSHEET 1 • Teacha!
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Show Answer Key & Explanations
Step-by-step solution for: GRADE 6 TERM 4 MATHEMATICS WORKSHEET 1 • Teacha!
Let’s solve each problem step by step. We’ll go section by section: multiplication, fraction calculations, and rounding.
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Multiplication Problems (69–78)
We multiply the numbers as shown.
69. 1866 × 11
→ 1866 × 10 = 18660
→ 1866 × 1 = 1866
→ Add: 18660 + 1866 = 20526
70. 486 × 30
→ 486 × 3 = 1458 → then add a zero → 14580
71. 1165 × 5
→ 1000×5=5000, 100×5=500, 60×5=300, 5×5=25 → 5000+500=5500+300=5800+25= 5825
72. 1141 × 9
→ 1000×9=9000, 100×9=900, 40×9=360, 1×9=9 → 9000+900=9900+360=10260+9= 10269
73. 1466 × 50
→ 1466 × 5 = 7330 → add a zero → 73300
74. 2382 × 50
→ 2382 × 5 = 11910 → add a zero → 119100
75. 1600 × 9
→ 16 × 9 = 144 → add two zeros → 14400
76. 221 × 10
→ Just add a zero → 2210
77. 3807 × 4
→ 3000×4=12000, 800×4=3200, 0×4=0, 7×4=28 → 12000+3200=15200+28= 15228
78. 818 × 25
→ Think of 25 as 100÷4 → 818 × 100 = 81800 ÷ 4 = 20450
OR: 800×25=20000, 18×25=450 → 20000+450= 20450
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Fraction Calculations (79–88)
We add or subtract whole numbers and fractions separately. If needed, borrow or carry over.
79. 7½ - 1½ = (7-1) + (½ - ½) = 6
80. 7¹⁷/₂₀ - 5¹⁸/₂₀
→ Can’t subtract 18/20 from 17/20 → borrow 1 from 7 → becomes 6 and 37/20
→ 6³⁷/₂₀ - 5¹⁸/₂₀ = (6-5) + (37-18)/20 = 1¹⁹/₂₀ → 1 19/20
81. 8¹/₁₁ - 2³/₁₁
→ 1/11 < 3/11 → borrow 1 from 8 → 7 and 12/11
→ 7¹²/₁₁ - 2³/₁₁ = (7-2) + (12-3)/11 = 5⁹/₁₁ → 5 9/11
82. 4⁷/₉ - 1⁸/₉
→ 7/9 < 8/9 → borrow 1 from 4 → 3 and 16/9
→ 3¹⁶/₉ - 1⁸/₉ = (3-1) + (16-8)/9 = 2⁸/₉ → 2 8/9
83. 3¹³/₁₆ + 2⁹/₁₆
→ Whole: 3+2=5; Fraction: 13+9=22/16 = 1⁶/₁₆ = 1³/₈
→ Total: 5 + 1³/₈ = 6 3/8
84. 8²/₁₇ - 5⁵/₁₇
→ 2/17 < 5/17 → borrow 1 from 8 → 7 and 19/17
→ 7¹⁹/₁₇ - 5⁵/₁₇ = (7-5) + (19-5)/17 = 2¹⁴/₁₇ → 2 14/17
85. 4⁵/₂₁ + 8¹²/₂₁
→ Whole: 4+8=12; Fraction: 5+12=17/21 → 12 17/21
86. 3⁴⁷/₁₀₀ + 3⁴/₁₀₀
→ Whole: 3+3=6; Fraction: 47+4=51/100 → 6 51/100
87. 9⁶⁷/₇₅ - 6⁶⁸/₇₅
→ 67/75 < 68/75 → borrow 1 from 9 → 8 and 142/75
→ 8¹⁴²/₅ - 6⁶⁸/₇₅ = (8-6) + (142-68)/75 = 2⁷⁴/₇₅ → 2 74/75
88. 2⁴⁹/₅₀ + 1⁴³/₀
→ Whole: 2+1=3; Fraction: 49+43=92/50 = 1⁴²/₀ = 1²¹/₂₅
→ Total: 3 + 1²¹/₂₅ = 4 21/25
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Rounding to Underlined Digit (89–101)
Rule: Look at the digit to the right of the underlined one.
If it’s 5 or more → round up.
If less than 5 → keep the same.
89. _3_894 → underline is 3 (thousands place). Next digit is 8 → round up → 4000
90. 3_5_018 → underline is 5 (ten thousands). Next digit is 0 → stay → 35000
91. _6_061 → underline is 6 (thousands). Next digit is 0 → stay → 6000
92. _1_865 → underline is 1 (thousands). Next digit is 8 → round up → 2000
93. 7_6_128 → underline is 6 (ten thousands). Next digit is 1 → stay → 76000
94. _9_967 → underline is 9 (thousands). Next digit is 9 → round up → 9+1=10 → so 10000
95. _9_881 → underline is 9 (thousands). Next digit is 8 → round up → 10000
96. 44_3_238 → underline is 3 (hundreds). Next digit is 2 → stay → 443000
Wait — let’s check positions:
Number: 443238
Digits: hundred thousands, ten thousands, thousands, hundreds, tens, ones
So: 4 (100k), 4 (10k), 3 (1k), 2 (100s), 3 (10s), 8 (1s)
Underline is on the 3 in “44_3_238” — that’s the thousands place? Wait, let's count:
Position from left:
1st: 4 → 100,000
2nd: 4 → 10,000
3rd: 3 → 1,000 ← this is underlined? But written as "44_3_238" — probably means the 3 is underlined, which is the thousands digit.
But the instruction says “round to the underlined digit”. So if 3 is underlined (in 443238), we are rounding to the nearest thousand.
Look at next digit (hundreds): 2 → less than 5 → so keep 3 → 443000
Actually, let me re-read: “Round to the underlined digit.” That usually means round to that place value.
In 96. 44_3_238 — assuming the 3 is underlined, and it’s in the thousands place → round to nearest thousand → look at hundreds digit (2) → round down → 443000
Similarly:
97. _9_522 → underline 9 (thousands). Next digit 5 → round up → 9+1=10 → 10000
98. 4_6_028 → underline 6 (ten thousands). Next digit 0 → stay → 46000
99. 85_1_897 → underline 1 (thousands). Next digit 8 → round up → 1+1=2 → 852000
Wait — number is 851897. Digits:
8 (100k), 5 (10k), 1 (1k), 8 (100s), 9 (10s), 7 (1s)
Underline is on 1 → thousands place → look at next digit (8) → round up → 1 becomes 2 → so 852000 → 852000
100. 35_7_504 → underline 7 (thousands). Next digit 5 → round up → 7+1=8 → 358000
101. 368_1_33 → underline 1 (hundreds). Next digit 3 → less than 5 → stay → 368100
Wait — number is 368133. Positions:
3 (100k), 6 (10k), 8 (1k), 1 (100s), 3 (10s), 3 (1s)
Underline on 1 → hundreds place → look at tens digit (3) → less than 5 → so keep 1 → 368100
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Now, compiling all answers:
Final Answer:
69. 20526
70. 14580
71. 5825
72. 10269
73. 73300
74. 119100
75. 14400
76. 2210
77. 15228
78. 20450
79. 6
80. 1 19/20
81. 5 9/11
82. 2 8/9
83. 6 3/8
84. 2 14/17
85. 12 17/21
86. 6 51/100
87. 2 74/75
88. 4 21/25
89. 4000
90. 35000
91. 6000
92. 2000
93. 76000
94. 10000
95. 10000
96. 443000
97. 10000
98. 46000
99. 852000
100. 358000
101. 368100
---
Multiplication Problems (69–78)
We multiply the numbers as shown.
69. 1866 × 11
→ 1866 × 10 = 18660
→ 1866 × 1 = 1866
→ Add: 18660 + 1866 = 20526
70. 486 × 30
→ 486 × 3 = 1458 → then add a zero → 14580
71. 1165 × 5
→ 1000×5=5000, 100×5=500, 60×5=300, 5×5=25 → 5000+500=5500+300=5800+25= 5825
72. 1141 × 9
→ 1000×9=9000, 100×9=900, 40×9=360, 1×9=9 → 9000+900=9900+360=10260+9= 10269
73. 1466 × 50
→ 1466 × 5 = 7330 → add a zero → 73300
74. 2382 × 50
→ 2382 × 5 = 11910 → add a zero → 119100
75. 1600 × 9
→ 16 × 9 = 144 → add two zeros → 14400
76. 221 × 10
→ Just add a zero → 2210
77. 3807 × 4
→ 3000×4=12000, 800×4=3200, 0×4=0, 7×4=28 → 12000+3200=15200+28= 15228
78. 818 × 25
→ Think of 25 as 100÷4 → 818 × 100 = 81800 ÷ 4 = 20450
OR: 800×25=20000, 18×25=450 → 20000+450= 20450
---
Fraction Calculations (79–88)
We add or subtract whole numbers and fractions separately. If needed, borrow or carry over.
79. 7½ - 1½ = (7-1) + (½ - ½) = 6
80. 7¹⁷/₂₀ - 5¹⁸/₂₀
→ Can’t subtract 18/20 from 17/20 → borrow 1 from 7 → becomes 6 and 37/20
→ 6³⁷/₂₀ - 5¹⁸/₂₀ = (6-5) + (37-18)/20 = 1¹⁹/₂₀ → 1 19/20
81. 8¹/₁₁ - 2³/₁₁
→ 1/11 < 3/11 → borrow 1 from 8 → 7 and 12/11
→ 7¹²/₁₁ - 2³/₁₁ = (7-2) + (12-3)/11 = 5⁹/₁₁ → 5 9/11
82. 4⁷/₉ - 1⁸/₉
→ 7/9 < 8/9 → borrow 1 from 4 → 3 and 16/9
→ 3¹⁶/₉ - 1⁸/₉ = (3-1) + (16-8)/9 = 2⁸/₉ → 2 8/9
83. 3¹³/₁₆ + 2⁹/₁₆
→ Whole: 3+2=5; Fraction: 13+9=22/16 = 1⁶/₁₆ = 1³/₈
→ Total: 5 + 1³/₈ = 6 3/8
84. 8²/₁₇ - 5⁵/₁₇
→ 2/17 < 5/17 → borrow 1 from 8 → 7 and 19/17
→ 7¹⁹/₁₇ - 5⁵/₁₇ = (7-5) + (19-5)/17 = 2¹⁴/₁₇ → 2 14/17
85. 4⁵/₂₁ + 8¹²/₂₁
→ Whole: 4+8=12; Fraction: 5+12=17/21 → 12 17/21
86. 3⁴⁷/₁₀₀ + 3⁴/₁₀₀
→ Whole: 3+3=6; Fraction: 47+4=51/100 → 6 51/100
87. 9⁶⁷/₇₅ - 6⁶⁸/₇₅
→ 67/75 < 68/75 → borrow 1 from 9 → 8 and 142/75
→ 8¹⁴²/₅ - 6⁶⁸/₇₅ = (8-6) + (142-68)/75 = 2⁷⁴/₇₅ → 2 74/75
88. 2⁴⁹/₅₀ + 1⁴³/₀
→ Whole: 2+1=3; Fraction: 49+43=92/50 = 1⁴²/₀ = 1²¹/₂₅
→ Total: 3 + 1²¹/₂₅ = 4 21/25
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Rounding to Underlined Digit (89–101)
Rule: Look at the digit to the right of the underlined one.
If it’s 5 or more → round up.
If less than 5 → keep the same.
89. _3_894 → underline is 3 (thousands place). Next digit is 8 → round up → 4000
90. 3_5_018 → underline is 5 (ten thousands). Next digit is 0 → stay → 35000
91. _6_061 → underline is 6 (thousands). Next digit is 0 → stay → 6000
92. _1_865 → underline is 1 (thousands). Next digit is 8 → round up → 2000
93. 7_6_128 → underline is 6 (ten thousands). Next digit is 1 → stay → 76000
94. _9_967 → underline is 9 (thousands). Next digit is 9 → round up → 9+1=10 → so 10000
95. _9_881 → underline is 9 (thousands). Next digit is 8 → round up → 10000
96. 44_3_238 → underline is 3 (hundreds). Next digit is 2 → stay → 443000
Wait — let’s check positions:
Number: 443238
Digits: hundred thousands, ten thousands, thousands, hundreds, tens, ones
So: 4 (100k), 4 (10k), 3 (1k), 2 (100s), 3 (10s), 8 (1s)
Underline is on the 3 in “44_3_238” — that’s the thousands place? Wait, let's count:
Position from left:
1st: 4 → 100,000
2nd: 4 → 10,000
3rd: 3 → 1,000 ← this is underlined? But written as "44_3_238" — probably means the 3 is underlined, which is the thousands digit.
But the instruction says “round to the underlined digit”. So if 3 is underlined (in 443238), we are rounding to the nearest thousand.
Look at next digit (hundreds): 2 → less than 5 → so keep 3 → 443000
Actually, let me re-read: “Round to the underlined digit.” That usually means round to that place value.
In 96. 44_3_238 — assuming the 3 is underlined, and it’s in the thousands place → round to nearest thousand → look at hundreds digit (2) → round down → 443000
Similarly:
97. _9_522 → underline 9 (thousands). Next digit 5 → round up → 9+1=10 → 10000
98. 4_6_028 → underline 6 (ten thousands). Next digit 0 → stay → 46000
99. 85_1_897 → underline 1 (thousands). Next digit 8 → round up → 1+1=2 → 852000
Wait — number is 851897. Digits:
8 (100k), 5 (10k), 1 (1k), 8 (100s), 9 (10s), 7 (1s)
Underline is on 1 → thousands place → look at next digit (8) → round up → 1 becomes 2 → so 852000 → 852000
100. 35_7_504 → underline 7 (thousands). Next digit 5 → round up → 7+1=8 → 358000
101. 368_1_33 → underline 1 (hundreds). Next digit 3 → less than 5 → stay → 368100
Wait — number is 368133. Positions:
3 (100k), 6 (10k), 8 (1k), 1 (100s), 3 (10s), 3 (1s)
Underline on 1 → hundreds place → look at tens digit (3) → less than 5 → so keep 1 → 368100
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Now, compiling all answers:
Final Answer:
69. 20526
70. 14580
71. 5825
72. 10269
73. 73300
74. 119100
75. 14400
76. 2210
77. 15228
78. 20450
79. 6
80. 1 19/20
81. 5 9/11
82. 2 8/9
83. 6 3/8
84. 2 14/17
85. 12 17/21
86. 6 51/100
87. 2 74/75
88. 4 21/25
89. 4000
90. 35000
91. 6000
92. 2000
93. 76000
94. 10000
95. 10000
96. 443000
97. 10000
98. 46000
99. 852000
100. 358000
101. 368100
Parent Tip: Review the logic above to help your child master the concept of math worksheet for grade 6 and 7.
