Foundation June 2023 Paper 2 Q7
7
(a) Complete the boxes using
two different even numbers
and
two different odd numbers. [2 marks]
(b) Complete the boxes using
a factor of 12
and
a factor of 40 [2 marks]
(c) Complete the boxes using
a square number
and
a prime number. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| Two even and two odd numbers and the numbers all different and the sum of the four numbers is 46 | B2 | any order B1 two even and two odd numbers and the sum of the four numbers is 46 or the numbers all different and the sum of the four numbers is 46 or two even and two odd numbers and the numbers all different and the sum of the four numbers is [36, 56] |
Additional guidance
| \(\boxed{11} + \boxed{8} + \boxed{6} + \boxed{21}\) | B2 |
| \(\boxed{30} + \boxed{10} + \boxed{3} + \boxed{3}\) (not all different) | B1 |
| \(\boxed{8} + \boxed{12} + \boxed{10} + \boxed{16}\) (no odds) | B1 |
| \(\boxed{10} + \boxed{16} + \boxed{1} + \boxed{11}\) (not 46 but in range) | B1 |
| \(\boxed{15} + \boxed{10} + \boxed{15} + \boxed{10}\) (not all different and not 46) | B0 |
| \(\boxed{3} + \boxed{5} + \boxed{7} + \boxed{29}\) (no evens and not 46) | B0 |
| Negatives are acceptable for B1 or B2 | |
| 0 is an even number for B1 or B2, but a blank box does not imply 0 | |
| Fractions and/or decimals are acceptable for four different numbers that sum to 46 for B1 | |
| Mark the boxes |
| Answer | Mark | Comments |
|---|---|---|
| \(\boxed{3} \times \boxed{10}\) or \(\boxed{6} \times \boxed{5}\) | B2 | either order B1 uses a factor of 12 and the product of the two numbers is [24, 36] or uses a factor of 40 and the product of the two numbers is [24, 36] or the product of the two numbers is 30 |
Additional guidance
| \(\boxed{3} \times \boxed{9}\) | B1 |
| \(\boxed{7} \times \boxed{5}\) | B1 |
| \(\boxed{30} \times \boxed{1}\) | B1 |
| \(\boxed{15} \times \boxed{2}\) | B1 |
| Fractions and/or decimals are acceptable for non-factors for B1 | |
| Mark the boxes |
| Answer | Mark | Comments |
|---|---|---|
| \(\boxed{36} \div \boxed{2}\) | B2 | B1 any square number \(\gt 1\) or any prime number |
Additional guidance
| Allow squares to be written in index form for B2 or B1 eg \(\boxed{6^2} \div \boxed{2}\) | B2 |
| \(\boxed{2} \div \boxed{36}\) | B1 |
| \(\boxed{\phantom{00}} \div \boxed{9}\) | B1 |
| \(\boxed{72} \div \boxed{4}\) | B1 |
| Mark the boxes |